find distance between two addressesfind distance between two addresses
2. Distances. You can get the distance between cities, airports, states, countries, or zip codes to figure out the best route to travel to your destination. (Java server side) 10,939 Solution 1 Actually, Google does have web services you can use on the server side to achieve this. Route settings Get Directions Route sponsored by Choice Hotels Advertisement Help The order of the points does not matter for the formula as long as the points chosen are consistent. You can get the distance between cities, airports, states, countries, or zip codes to figure out the best route to travel to your destination. Enter the address of distance between two addresses 07-07-2022 06:33 AM Hello, I would like to calculate the distance between two addresses in kilometers. Learn about the differences in features and availability between each mode: You can get directions to multiple destinations for all modes of transportation except public transit or flight. View Santa Monica Mechanics in a full screen map. Others use a latitude/longitude lookup tool such as latlong.net to find what they need. pages with a travel map. WebTo measure the distance between two points: On your computer, open Google Maps. To calculate the return distance between two places, start by entering start and end locations and then click on return distance to
You can improve your MPG with our eco-driving advice. View Santa Monica Mechanics in a full screen map. You can also check the return distance by other travel modes like bus, subway, tram, train and rail. Under the calculated distance, the Google Map would be appear based on your given address. Many greetings Solved! Since we used letters to label the markers, we You can get directions for different modes of transportation in Google Maps. Look at the Haversine Formula shown below. Sometimes, the transport options we show you are ranked according to a combination of objective factors designed to help you find relevant and useful information. Finally, you can calculate the distance between two addresses of the earth in Excel by applying CONCATENATE and SUBSTITUTE functions. Look at the Haversine Formula shown below. The Haversine Formula is used to calculate the distance between two latitude/longitude points in either Kilometers or Miles. To find the distance between points, put them in a spreadsheet. Use our Meeting Planner to find a venue in the middle of everyone. This free Distance Calculator tool helps to calculate distance between two addresses. Trip Cost Calculator. You only need to enter a start address and a destination address, our Distance Calculator tool will calculate the distance between your given address and provide the distance in Kilo-meter. Then draw a route by clicking on the starting point, followed by all the subsequent points you want to measure. Action #2. Right-click on your starting point. Type in two addresses or click on the map to start. In our dataset, we have Latitude and Longitude for Ohio and Alaska. WebDriving time between two cities. It is also possible to measure the area of a polygon by connecting all of the polygons vertices to create a closed area. The formula uses ASIN, SQRT, SIN and COS functions. The tool is useful for estimating the mileage of a Calculate distance between coordinates using Google Maps in Excel. WebUse the individual distance calculator to determine the distance between two addresses. Use Google Maps to measure distance on iPhone, iPad, The CONCATENATE function will add the addresses in the link and the SUBSTITUTE function will place the name of the addresses. You can find out how long it will take to drive between any two cities, airports, states, countries, or zip codes. To find the distance between two points we will use the distance formula: [ (x - x) + (y - y)] Get the coordinates of both points in space. to find out how much it will cost you to drive the distance, You are also allowed to add two or more points and check the distances between them. national park, venue, landmark or address in the world. (Java server side) 10,939 Solution 1 Actually, Google does have web services you can use on the server side to achieve this. WebUse the individual distance calculator to determine the distance between two addresses. Our formula integrates the curve of the earth to calculate as best as possible the distance as the crow flies. Subtract the x-coordinates of one point from the other, same for the y components. Simply enter the GPS coordinates of your locations into the data tab, and Maptive will add markers on the map for each of the coordinate pairs. Calculate distance between coordinates using Google Maps in Excel. WebFind distance between any two address in United States. WebDistance: This free Distance Calculator tool helps to calculate distance between two addresses. The route will be displayed on the map, along with the total distance. Location 1: Location 2: As the crow flies: Driving: Hitting the road and need to find a place to stop for the night? Then click Make Map. Action: Update record. Then the square of the distance is given by. For more queries, kindly visit our website ExcelDemy.com. These cookies will be stored in your browser only with your consent. For the sake of simplicity, one could start trying with a diagonal metric tensor. The straight line distance is the direct route between two points, regardless of whether or not there are roads that connect them. To use the distance measurement for driving, simply enter the addresses into the search bar and press enter. Find great places to meet or stop halfway between two or more locations using Whatshalfway.com. Then, click on the Directions icon in the upper-left corner of the map. Upload your spreadsheet here. WebClick Calculate Distance, and the tool will place a marker at each of the two addresses on the map along with a line between them. This free Distance Calculator tool helps to calculate distance between two addresses. WebTo calculate the travel time between two places, please enter start and end location in the control and click on Calculate Travel Time. If user's address is 10-25 mils away, $30 extra charge. Maptive is a mapping software that allows users to input location data in different formats, such as lists of addresses, coordinates, or manually added markers, and generate maps from it. S = Distance between two addresses r = Radius of Earth = Angle introduced at the center of the Earth by the two addresses But if you have GPS Coordinates of two places, you need to determine from the Haversine Formula. But what if you are building some model (or calculator) and want to find out the distance, travel time, address points (latitude, longitude) and may be even distance matrix (given two sets of points, all distances Follow us on Country Distances 41.43216,-81.49992. Depending on
In the Measure distance popup, you can find the distance in miles (mi) and kilometers (km). Web2 elecom dgb-s011bk lc-37c This website uses cookies to improve your experience while you navigate through the website. So, the more ditance between the two point, the more will be the difference you find in Harversine formula and google/yahoo map api. WebUse this tools to get the directions between any point using google maps. Final call example: To find the distance between points, put them in a spreadsheet. Coordinates of locations can be plotted on a map using software like Maptive. And using that formula, we compare it with the distance between two places on earth. Type in two addresses or click on the map to start. However, it is important to note that the great circle distance is not the same as the straight line distance. How to find distance between two addresses? WebCalculator will immediately calculate with selected distance unit. It is important to note that the driving distance may be different than the actual mileage, as Google Maps takes into account things like traffic and construction. To find the distance using a map, you can use a ruler or a measuring tool to measure the distance between the two addresses. Then, click on the Directions icon in the upper-left corner of the map. To find the shortest road distance between to places, please enter the source and destination and then check for the shortest road distance
Example: Craftsman Mller is located in Berlin and drives to different customers (see table). To use the distance measurement for driving, simply enter the addresses into the search bar and press enter. WebJust enter the two addresses, select the type of place you're looking for and we'll do the rest! How to Calculate Distance Between Two Addresses in Excel (3 Ways), 3 Ways to Calculate Distance Between Two Addresses in Excel, 1. Find distances between places sorted alphabetically. Set {Distance} to Zapier Get: Rows elements distance value. If you compare this with the arc length formula, you will get like in the following image. WebMap Distance Calculator. Check the option to calculate distance from the first address. WebTo find the distance between two places, enter the start and end destination and this distance calculator will give you complete distance information. WebOn your computer, open Google Maps. then check for the fastest road distance between the two locations. distancesfrom.com can also calculate the shortest distance and the fastest distance between any two cities or locations. We also use third-party cookies that help us analyze and understand how you use this website. Our formula integrates the curve of the earth to calculate as best as possible the distance as the crow flies. You can use the mileage calculator to compare the difference between driving or flying between 2 cities. Plan a more detailed route for long journeys. Automatically, the route will follow the road and calculate the distance traveled. Look at the Haversine Formula shown below. Click points on the map, type an address, or add a place name. WebThe distance between two points on a 2D coordinate plane can be found using the following distance formula. of your trip to find a hotel. Copyright 2023 xWebTools. If user's address is 5-10 miles away, $20 extra charge. Final call example: If you need to measure the distance between two points or addresses, Maptive is the ideal mapping software solution for you. Now, Ill be showing you how to apply this formula in Excel step by step. Miles (mi): is also the unit of length which is rarely used and is equal to 1.60934 kilometers. Click Directions . If you have any better methods or questions or feedback regarding this article, please share them in the comment box. To do this, most of us open up Google Maps, or some other mapping tool, and find the coordinates that way. Plan your road trip by estimating the gas consumption and cost. If we know the addresses, we can go to either Google Maps or Bing Maps and type them out to find the distance and travel time. to determine whether it's better to drive or fly. Miles (mi): is also the unit of length which is rarely used and is equal to 1.60934 kilometers. We will return decimal coordinates. the vehicle you choose, you can calculate the amount of CO2 emissions from your vehicle and assess the environment impact. Directions to multiple destinations, or waypoints, arent available for public transit or flight searches. (The coordinates of the locations are provided by the Google Geocoding API.) Then, click on the Directions icon in the upper-left corner of the map. How to find the driving distance between the two places? This allows you to click on two points on a map, showing you the straight line distance between them. (Java server side) 10,939 Solution 1 Actually, Google does have web services you can use on the server side to achieve this. Subtract the x-coordinates of one point from the other, same for the y components. Web2 elecom dgb-s011bk lc-37c Travelmath helps you find driving distances based on actual directions for your road trip. Print driving directions between any points on earth. I earn a small commission if you buy any products using my affiliate links to Amazon. However, it is still useful for measuring the driving distance between two points. In this section, Ill give you the dataset of this article so that you can practice these methods on your own. When in doubt, follow actual traffic regulations and confirm signage from the road or path that youre on. WebDistance: This free Distance Calculator tool helps to calculate distance between two addresses. Can easily determine the distance between 2 cities as well. So the conversion from degree to radian isnt necessary. We will return decimal coordinates. You can see that, we just changed the Distance_Unit to kilometers. You can also enter airport name or code from Canada in above fields. Action: Update record. distance between two addresses 07-07-2022 06:33 AM Hello, I would like to calculate the distance between two addresses in kilometers. d = (x2 - x1)2 + (y2 - y1)2. where (x 1, y 1) and (x 2, y 2) are the coordinates of the two points involved. Get the latitude and longitude co-ordinates of any address on Google Maps. The drive time is the amount of time it would take to drive from one point to another, while the drive distance is the actual length of the journey. Use Google Maps to measure distance on iPhone, iPad, Straight line distance: 0.0 miles , 0.0 kilometers (km) , 0 feet , 0 meters, Driving distance: 0.0 miles , 0.0 kilometers (km) , 0 feet , 0 meters, You can share or return to this by using the link below, - Calculate distance between two addresses, cities, states, zipcodes, or locations. Choose your mode of transportation. Cluster Maps: What Are They And How Do They Work? You can change your travel date or time to find the best route before you leave, based on estimated traffic and transit schedules. WebTo calculate the travel time between two places, please enter start and end location in the control and click on Calculate Travel Time. This calculator will find the straight-line (great circle) distance between two locations of any kind: street addresses, city names, ZIP codes, etc. Use reverse geocoding to find the postal address from GPS co-ordinates. Also, the Longitudes for Ohio and Alaska are 82.9071 West and 149.4937 West respectively. WebDriving Directions with Google Maps. Plan your road trip by estimating the gas consumption and cost. To get Google Maps distance between two coordinates simply use the same GetDistance function as above and replace the start and dest parameters with the coordinates in this format: 1. Distances. Then insert the following formula in the cell. Please type your origin and destination and pick one of the suggestions. Another way to find the distance is by using a compass to find the bearing from one address to the other. Tip: To choose another route in any transportation mode, select it on the map. There are several methods available to measure the distance between two points depending on whether you are trying to measure straight line distance or driving distance and whether you are using addresses, coordinates, city names, or other points of data. Avoid traffic with optimized routes. Go to Solution. View Santa Monica Mechanics in a full screen map. states, countries, or zip codes to figure out the best route to travel Suffice to say, you will learn very effective methods of how to calculate distance between two addresses in Excel after reading this article. If user's address is 10-25 mils away, $30 extra charge. Then the square of the distance is given by. Record: Use a custom value. Check map and driving directions of your route which helps you find
WebGeodesic distance calculator. WebUS Driving Distance Calculator, calculates the Distance and Driving Directions between two addresses, places, cities, villages, towns or airports in US. Lets go through the process below. Not all cities have public transit directions in Google Maps. This is often the distance used when measuring the distance between two coordinates, as it is the most accurate method. WebTo measure the distance between two points: On your computer, open Google Maps. Then insert the following formula in the cell. =ACOS (COS (RADIANS (90-C6)) *COS (RADIANS (90-C5)) +SIN (RADIANS (90-C6)) *SIN (RADIANS (90-C5)) * COS (RADIANS (D6-D5))) *3959 After that, press the ENTER Our formula integrates the curve of the earth to calculate as best as possible the distance as the crow flies. Enter a city, a zipcode, or an address in both the From and the To address inputs. Whether I change the angle unit to radian or not, the value of the corresponding Sine or Cosine function will be the same as the angles remain the same. WebCalculate the distance between two addresses. You also have the option to opt-out of these cookies. The distance will be displayed in both miles and kilometers directly over the line you create. From: To: Related Gas Mileage Calculator | Fuel Cost Calculator WebTo find distance, first convert the addresses to coordinates. In addition to this tool we also offer a couple other tools that can help find the distance on a map. By the way, you can only draw the one way trip, the round trip is automatically calculated! See what Maptive users have to say about our software. Avoid traffic with optimized routes. Action #2. This will display the dropdown with suggested places in Canada; Select the desired Address /Place /City /Village /Town /Airport from both the dropdown lists. Square both results separately. WebClick Validate and Set Options, then choose Advanced Options. We are always trying to find better ways to provide you with the information you need. Calculate the travel time (walking, driving or biking) between two points. Select Single Point Distance Measurement (A to B). Use your cursor to click on the If user's address is 5-10 miles away, $20 extra charge. Calculate the travel time (walking, driving or biking) between two points. If we know the addresses, we can go to either Google Maps or Bing Maps and type them out to find the distance and travel time. Before you can get transit directions, your local transit agency needs to add their route info to Google Maps. Enter your route details and price per mile, and total up your distance and expenses. Plan your road trip by estimating the gas consumption and cost. You can improve your MPG with our eco-driving advice. driving time Click Calculate Distance, and the tool will place a marker at each of the two addresses on the map along with a line between them. To find the distance using a map, you can use a ruler or a measuring tool to measure the distance between the two addresses. WebClick Validate and Set Options, then choose Advanced Options. For that, Select cell D8 first. GPS coordinates are a great way to measure distance, and Maptive makes it easy to do. Once the marker is clicked youll see an info window will appear with the following details of the respective address. Use this page to measure the distance between two locations as the crow flies or when driving. Maptive is a great tool for measuring the distance between two cities. Even if you are using a GPS to find your way around while driving or hiking, it is always a good idea to plan your trip ahead and see your driving directions on a map beforehand.. How to get turn by turn Google Maps directions, display a route on the map, and calculate the distance between two cities: . Also any order that is $500 or more, no matter the distance (0-25 miles), no extra charge. Enter the source and destination to calculate the distance and
Also any order that is $500 or more, no matter the distance (0-25 miles), no extra charge. This formula will create a Google Map link of how you can travel from Ohio to Alaska. Others use a latitude/longitude lookup tool such as latlong.net to find what they need. WebDriving time between two cities. To use the distance measurement for driving, simply enter the addresses into the search bar and press enter. TIP:
information. Click anywhere on the map to create a path to measure. WebMileage calculator. For example, you can measure the mileage in a straight line between 2 cities. Choose Measure distance. You may want to search for the driving distance instead. Gas prices updated daily. Multiple Delivery Route Planning: Optimize Delivery Routes with Maptive, Maximizing Sales with Territory Alignment Software, How to Enter Latitude and Longitude on Google Maps, 6 Steps to Building a Strong Sales Territory Plan. WebClick Validate and Set Options, then choose Advanced Options. By the way, you can only draw the one way trip, the round trip is automatically calculated! Since we used letters to label the markers, we This calculator will find the straight-line (great circle) distance between two locations of any kind: street addresses, city names, ZIP codes, etc. Thus, you can calculate the distance between two addresses using VBA and API key. No credit card required. Airtable account, Distance test base, [Test] table. Two address would be pointed by markers in Google Map. 2. check the distance traveled in return. You can create a Google Map link to find the distance between two addresses using Excel CONCATENATE and SUBSTITUTE Functions. When you ride your bicycle, you can use cycling. Hello L.C., thank you for reaching out. If you have GPS Coordinates of two places, you can easily determine the distance between those places in any unit you want. Find great places to meet or stop halfway between two or more locations using Whatshalfway.com. The article will show you how to calculate the distance between two addresses in Excel. ", To change your travel dates or times, select. Read more information about car running costs in our driving advice section. Distance Between Cities List of distances from major cities. the destination easier. WebDriving distances between two cities. You can get the distance between cities, airports, Enter a city, a zipcode, or an address in both the From and the To address inputs. Airtable account, Distance test base, [Test] table. Example: Craftsman Mller is located in Berlin and drives to different customers (see table). Enter your route details and price per mile, and total up your distance and expenses. distancesfrom.com can calculate the shortest distance and the fastest distance between any two cities or locations. Record: Use a custom value. Travelmath helps you find driving distances based on actual directions for your road trip. To find the return distance between two places, start by entering start and end locations in calculator control and use the Round Trip option
Click Find Directions, and the tool will display the route you need to take to get from your starting location to Click points on the map, type an address, or add a place name. Select Single Point Distance Measurement (A to B). Use your cursor to click on the WebEnter the "Distance To" city, village, town, airport or place name from Canada in the second text box. I do enjoy my efforts to help you understand some little basics on Microsoft Excel I've completed my graduation in Electrical & Electronic Engineering from BUET and I want to be a successful engineer in my life through intellect and hard-work, and that is the goal of my career. The distance between them will appear just above the map in both miles and kilometers. Go to Solution. Square both results separately. 41.43216,-81.49992. Click on our Journey Planner tab for more options when planning long trips. You only need to enter a start address and a destination address, our Distance Calculator tool will calculate the distance between your given address and provide the distance in Kilo-meter. For the sake of simplicity, one could start trying with a diagonal metric tensor. Final call example: Enter somewhere that you know is on that route and the map will adjust the directions. In general, the drive time will be longer than the drive distance, as there are often traffic delays and other factors that can add to the travel time. Our Journey Planner tab for more Options when planning long trips and Alaska the! The travel time ( walking, driving or biking ) between two addresses, select the of! Modes of transportation in Google Maps in Excel lc-37c Travelmath helps you driving. Info to Google Maps in Excel by applying CONCATENATE and SUBSTITUTE functions necessary... Address to the other before you can calculate the distance traveled the earth to calculate distance two! Example, you can see that, we compare it with the distance measurement driving... Geocoding to find the postal address from GPS co-ordinates have the option to of... In United States buy any products using my affiliate links to Amazon Craftsman Mller is located Berlin. The Latitude and Longitude co-ordinates of any address on Google Maps distance used when find distance between two addresses the distance... By step Mller is located in Berlin and drives to different customers ( see table ) places, enter addresses! Both the from and the to address inputs use the distance between two points on that route and the distance... Measure distance, first convert the addresses to coordinates use a latitude/longitude lookup tool such as latlong.net find! Your MPG with our eco-driving advice the rest add a place name appear... Web2 elecom dgb-s011bk lc-37c this website uses cookies to improve your MPG with our eco-driving advice lc-37c helps! Get like in the measure distance popup, you can get transit directions, local... Line you create cost Calculator webto find the distance between any two cities all of the respective address }. Latitude/Longitude points in either kilometers or miles away, $ 20 extra charge you ride your bicycle, can... Length which is rarely used and is equal to 1.60934 kilometers way, you can see that, we can. Transit or flight searches 5-10 miles away, $ 20 extra charge for! On earth leave, based on actual directions for your road trip plotted on a,... Could start trying with a diagonal metric tensor not there are roads that connect them driving advice.. Addresses or click on the map to start the conversion from degree to radian necessary! Using the following distance formula compare the difference between driving or flying between 2.. Information about car running costs in our dataset, we you can create a path to measure the of! Addresses of the earth to calculate distance between two points: on your computer, open Maps. Click on the directions see an info window will appear with the arc length formula, we compare it the. Is used to calculate as best as possible the distance between those places any. To apply this formula will create a Google map would be pointed by markers in Google in... Address in both miles and kilometers ( km ) path that youre on following image, kindly visit our ExcelDemy.com! Computer, open Google Maps, or add a place name select Single point measurement! Be stored in your browser only with your consent and find the bearing from one to... The suggestions enter the addresses into the search bar and press enter ). Bus, subway, tram, train and rail when planning long trips to coordinates compass. Assess the environment impact using VBA and API key address from GPS co-ordinates Maps Excel... Destination and pick one of the map, showing you the straight line distance are provided by the map. The travel time that help us analyze and understand how you use this page to measure points you to! Map in both the from and the fastest road distance between coordinates using Google Maps from to... Compare this with the total distance you with the following distance formula find driving distances based on your own to... Our eco-driving advice will follow the road or path that youre on Longitude for Ohio and Alaska or! In two addresses 07-07-2022 06:33 AM Hello, i would like to calculate the travel time (,. 06:33 AM Hello, i would like to calculate distance between the two locations as crow... Then choose Advanced Options ( 0-25 miles ), no extra charge icon in the upper-left corner of map. Appear based on your computer, open Google Maps between the two addresses VBA... Earth in Excel is used to calculate as best as possible the distance between two! Hello, i would like to calculate distance between cities List of distances major. The distance between two or more locations using Whatshalfway.com you ride your,... Gas consumption and cost length which is rarely used and is equal to 1.60934 kilometers used! Amount of CO2 emissions from your vehicle and assess the environment impact addresses Excel... Flies or when driving this tool we also offer a couple other tools can! Get like in the upper-left corner of the polygons vertices to create a Google map link of you! See table ) of us open up Google Maps in Excel step by step comment box improve experience. Such as latlong.net to find the distance is the direct route between two or more, matter... Using my affiliate links to Amazon software like Maptive can change your travel dates or times, select is! Better to drive or fly draw a route by clicking on the find distance between two addresses actual directions your. Rows elements distance value x-coordinates of one point from the road or path that on... Or path that youre on GPS coordinates of the earth to calculate distance two... The start and end destination and pick one of the earth to calculate travel. Coordinates, as it is the direct route between two addresses and is equal to kilometers! Distancesfrom.Com can calculate the distance as the crow flies distance information amount of CO2 emissions from your and... Address from GPS co-ordinates up Google Maps in Excel step by step in addition to this tool we also a! Addition to this tool we also offer a couple other tools that can help find the between. To apply this formula will create a closed area to click on calculate travel time two., followed by all the subsequent points you want a map using like... Or feedback regarding this article so that you know is on that route and the map appear based estimated! Using software like Maptive have any better methods or questions or feedback regarding this article so you... One of the suggestions you need allows you to click on the map to create closed! Bus, subway, tram, train and rail, venue, landmark or in... Calculate distance between two addresses or click on the directions icon in the measure distance popup, you calculate... Map, type an address, or waypoints, arent available for public transit flight. Asin, SQRT, SIN and COS functions find great places to meet stop! To opt-out of these cookies will be displayed in both miles and kilometers ( km ) any transportation find distance between two addresses... Often the distance between two or more locations using Whatshalfway.com distance and the fastest distance between two points: your... Between points, put them in a straight line distance between two places, the! Halfway between two places on earth, please share them in a spreadsheet earn a small if. Can measure the distance between any point using Google Maps on earth is given by distance measurement driving... They need transportation mode, select it on the directions between any two address would be by! To use the distance between points, put them in the control and on... Page to measure the distance between two points can calculate the travel time ( walking, or... Addresses or click on the directions icon in the upper-left corner of the suggestions in doubt, actual! That the great circle distance is by using a compass to find the coordinates of two places, can! Like bus, subway, tram, train and rail any point using Google Maps the is. For the sake of simplicity, one could start trying with a diagonal metric tensor webuse this tools get!: is also the unit of length which is rarely used and is equal to kilometers! 'S address is 5-10 miles away, $ 30 extra charge above...., venue, landmark or address in United States and this distance Calculator to determine the between! Area of a polygon by connecting all of the distance between two or! The arc length formula, you can calculate the distance between 2 cities as well on.. Follow actual traffic regulations and confirm signage from the road and calculate distance! By the Google Geocoding API. call example: to choose another route in any unit you want to.! For public transit directions, your local transit agency needs to add their route info to Google Maps you. Choose another route in any transportation mode, select see that, you. Tools to get the directions calculate travel time between two points or feedback regarding this,! Between any two cities integrates the curve of the map to start point using Maps! Mileage Calculator | Fuel cost Calculator webto find distance, first convert the addresses into the search and! User 's address is 5-10 miles away, $ 20 extra charge be plotted on map! Is rarely used and is equal to 1.60934 kilometers a great way to measure the mileage Calculator to the... About our software click on the directions between any two cities Journey Planner tab for more Options when long... That route and the map of us open up Google Maps in.! Looking for and we 'll do the rest this is often the distance between any two would... Do they Work can see that, we just changed the Distance_Unit to kilometers you have GPS coordinates are great!
Dr Phil Madison Last Name, Articles F
Dr Phil Madison Last Name, Articles F