{"id":2486,"date":"2019-11-21T10:09:43","date_gmt":"2019-11-21T09:09:43","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=2486"},"modified":"2024-03-12T17:12:25","modified_gmt":"2024-03-12T16:12:25","slug":"how-to-calculate-and-solve-for-distance-along-small-circles-latitude-and-longitude","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/11\/21\/how-to-calculate-and-solve-for-distance-along-small-circles-latitude-and-longitude\/","title":{"rendered":"How to Calculate and Solve for Distance Along Small circles | Latitude and Longitude"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents distance along small circles. To calculate the distance along small circles, two essential parameters are needed, and these parameters are the value of r<\/strong> and angular difference (\u03b8).<\/strong><\/p>\n

The formula for calculating the distance along small circles:<\/p>\n

x = (\u03b8<\/sup> \/ 360<\/sub>) x 2\u03c0r<\/p>\n

Where;<\/p>\n

x = Distance Along small circles
\n\u03b8 = Angular Difference
\nr = Radius of the small circle<\/p>\n

Let’s solve an example;
\nFind the distance along small circles when the angular difference is 24 and the value of r is 6.<\/p>\n

This implies that;<\/p>\n

\u03b8 = Angular Difference = 24
\nr = Radius of the small circle = 6<\/p>\n

x = (\u03b8<\/sup> \/ 360<\/sub>) x 2\u03c0r
\nThen, x = (24<\/sup> \/ 360<\/sub>) x 2\u03c0(6)
\nx = 0.066 x 37.69
\nx = 2.51<\/p>\n

Therefore, the\u00a0distance along small circle\u00a0<\/strong>is\u00a02.51 km.<\/strong><\/p>\n

Calculating the Angular Difference when the Distance Along Small Circle and the Value of r are Given<\/strong><\/h3>\n

\u03b8 = x360<\/sup> \/ 2\u03c0r<\/sub><\/p>\n

Where;<\/p>\n

\u03b8 = Angular Difference
\nx = Distance Along small circles
\nr = Radius of the small circle<\/p>\n

Let’s solve an example;
\nFind the angular difference when the distance along small circle is 15 and the value of r is 5.<\/p>\n

This implies that;<\/p>\n

x = Distance Along small circles = 15
\nr = Radius of the small circle = 5<\/p>\n

\u03b8 = x360<\/sup> \/ 2\u03c0r<\/sub>
\n\u03b8 = (15)360<\/sup> \/ 2\u03c0(5)<\/sub>
\nSo, \u03b8 = 5400<\/sup> \/ 31.41<\/sub>
\n\u03b8 = 171.91<\/p>\n

Therefore, the\u00a0angular difference\u00a0<\/strong>is\u00a0171.91\u00b0.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve Distance Along Great Circles | Latitude and Longitude<\/a><\/p>\n

Calculating the Value of r when the Distance Along Small Circle and the Angular Difference are Given<\/strong><\/h3>\n

r = x360<\/sup> \/ \u03b8 x 2\u03c0<\/sub><\/p>\n

Where;<\/p>\n

r = Radius of the small circle
\nx = Distance Along small circles
\n\u03b8 = Angular Difference<\/p>\n

Let’s solve an example;
\nGiven the distance along circles is 20 with an angular difference of 4. Find the value of r?<\/p>\n

This implies that;<\/p>\n

x = Distance Along small circles = 20
\n\u03b8 = Angular Difference = 4<\/p>\n

r = x360<\/sup> \/ \u03b8 x 2\u03c0<\/sub>
\nr = (20)360<\/sup> \/ 4 x 2\u03c0<\/sub>
\nSo, r = 7200<\/sup> \/ 4 x 6.28<\/sub>
\nr = 7200<\/sup> \/ 25.13<\/sub>
\nr = 286.5<\/p>\n

Therefore, the\u00a0value of r\u00a0<\/strong>is\u00a0286.5.<\/strong><\/p>\n

How to Calculate Distance Along Small circles Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the distance along small circles.<\/p>\n

To get the answer and workings of the distance along small circles 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\u00a0Latitude and Longitude<\/strong>\u00a0<\/strong>under\u00a0Mathematics<\/strong>.<\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Distance Along Small Circles\u00a0<\/strong>under\u00a0Latitude and Longitude<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the distance along small circles according to the respective parameters which are the\u00a0angular difference (\u03b8)\u00a0<\/strong>and value of r.<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the angular difference (\u03b8) <\/strong>is 24 <\/strong>and value of r<\/strong> is 6<\/strong>.<\/p>\n

\"How<\/p>\n

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

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

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the distance along small circles and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents distance along small circles. To calculate the distance along small circles, two essential parameters…","protected":false},"author":5,"featured_media":13306,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Distance Along Small circles","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Here are the steps, workings, and formula on How to Calculate and Solve for Distance Along Small circles | Latitude and 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