{"id":2462,"date":"2019-11-19T23:25:24","date_gmt":"2019-11-19T22:25:24","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=2462"},"modified":"2024-03-12T16:57:29","modified_gmt":"2024-03-12T15:57:29","slug":"how-to-calculate-and-solve-for-shortest-distance-between-two-points-latitude-and-longitude","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/11\/19\/how-to-calculate-and-solve-for-shortest-distance-between-two-points-latitude-and-longitude\/","title":{"rendered":"How to Calculate and Solve for Shortest Distance Between Two Points | Latitude and Longitude"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents the shortest distance between two points. To calculate the shortest distance between two points, two essential parameters are needed, and these parameters are the Value of R\u00a0<\/strong>and Angle Subtended at the Centre by the Chord (A(2\u03b2)).<\/strong><\/p>\n

The formula for calculating the shortest distance between two points:<\/p>\n

y = (A(2\u03b2)<\/sup> \/ 360<\/sub>) x 2\u03c0R<\/p>\n

Where;<\/p>\n

y = Shortest Distance Between Two Points
\nA(2\u03b2) = Angle Subtended at the Centre by the Chord
\nR = Radius of the Earth<\/p>\n

Let’s solve an example;
\nFind the shortest distance between two points with the angle subtended at the centre by the chord as 40 and radius of the earth as 6400.<\/p>\n

This implies that;<\/p>\n

A(2\u03b2) = Angle Subtended at the Centre by the Chord = 40\u00b0
\nR = Radius of the Earth = 6400<\/p>\n

y = (A(2\u03b2)<\/sup> \/ 360<\/sub>) x 2\u03c0R
\ny = (40<\/sup> \/ 360<\/sub>) x 2\u03c0 x 6400
\nSo, y = 0.111 x 2\u03c0 x 6400
\ny = 0.111 x 40212.38
\ny = 4468.04<\/p>\n

Therefore, the\u00a0shortest distance between two points\u00a0<\/strong>is\u00a04468.04 km.<\/strong><\/p>\n

Calculating the Angle Subtended at the Centre by the Chord when the Shortest Distance Between Two Points and the Value of R are Given<\/strong><\/h3>\n

A(2\u03b2) = y x 360<\/sup> \/ 2\u03c0R<\/sub><\/p>\n

\u00a0<\/strong>Where;<\/p>\n

A(2\u03b2) = Angle Subtended at the Centre by the Chord
\ny = Shortest Distance Between Two Points
\nR = Radius of the Earth<\/p>\n

Let’s solve an example;
\nFind the angle subtended at the centre by the chord when the shortest distance between two points is 36, and the value of R is 6400.<\/p>\n

This implies that;<\/p>\n

y = Shortest Distance Between Two Points = 36
\nR = Radius of the Earth = 6400<\/p>\n

A(2\u03b2) = y x 360<\/sup> \/ 2\u03c0R<\/sub>
\nA(2\u03b2) = 36 x 360<\/sup> \/ 2\u03c0 x 6400<\/sub>
\nSo, A(2\u03b2) = 12960<\/sup> \/ 40212.38<\/sub>
\nA(2\u03b2) = 0.322<\/p>\n

Therefore, the\u00a0angle subtended at the centre by the chord\u00a0<\/strong>is\u00a00.322\u00b0.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Same Meridian; Same Sides of the Equator | Latitude and Longitude<\/a><\/p>\n

How to Calculate the Shortest Distance Between Two Points Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the shortest distance between two points.<\/p>\n

To get the answer and workings of the shortest distance between two points using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>for\u00a0NGN 1,500\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a>
\nApple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on Latitude and Longitude<\/strong>\u00a0<\/strong>under Mathematics<\/strong>.<\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Shortest Distance Between Two Points\u00a0<\/strong>under\u00a0Latitude and Longitude<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the\u00a0shortest distance between two points according to the respective parameters which are the\u00a0Value of R\u00a0<\/strong>and\u00a0Angle Subtended at the Centre by the Chord (A(2\u03b2)).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Value of R\u00a0<\/strong>is 6400 <\/strong>and\u00a0Angle Subtended at the Centre by the Chord (A(2\u03b2))<\/strong> is 40<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"\"
\n\"\"<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the shortest distance between two points and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the shortest distance between two points. To calculate the shortest distance between two points,…","protected":false},"author":5,"featured_media":13295,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Shortest Distance Between Two Points","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn the step by steps and formula on How to Calculate and Solve for Shortest Distance Between Two Points | Latitude and 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