{"id":22911,"date":"2021-09-29T20:14:26","date_gmt":"2021-09-29T14:44:26","guid":{"rendered":"https:\/\/python-programs.com\/?p=22911"},"modified":"2021-11-22T18:35:35","modified_gmt":"2021-11-22T13:05:35","slug":"python-program-for-arc-length-from-given-angle","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-for-arc-length-from-given-angle\/","title":{"rendered":"Python Program for Arc Length from Given Angle"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-find-area-of-a-circular-segment\/\">Python Program to Find Area of a Circular Segment<\/a><br \/>\nGiven the diameter and angle of the circle, the task is to calculate the arclength from the given angle.<\/p>\n<p>An angle is a geometrical figure formed when two rays intersect at the same point on a plane. These rays form the angle&#8217;s sides, and the point where they intersect is known as the angle&#8217;s vertex. It is important to remember that the plane that forms an angle does not have to be a Euclidean plane. The length of an arc in a circle is now a fraction of the circumference.<\/p>\n<blockquote><p><strong>Formula:<\/strong><\/p>\n<p>ArcLength = ( 2 * pi * radius ) * ( angle \/ 360 )<\/p>\n<p>diameter = 2* radius<\/p>\n<p>The angle is given in degrees.<\/p><\/blockquote>\n<p><strong>Note:<\/strong> It should be noted that if the angle is greater than or equal to 360 degrees, the arc length cannot be calculated because no angle is possible.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given diameter = 15\r\nGiven Angle = 60<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The arc length for the given angle { 60 } degrees =  7.857142857142856<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given diameter = 30\r\nGiven Angle = 90<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The arc length for the given angle { 90 } degrees =  23.57142857142857<\/pre>\n<h2>Program for Arc Length from Given Angle in Python<\/h2>\n<p>Below are the ways to calculate the arc length from the given angle in python:<\/p>\n<ul>\n<li><a href=\"#Using_Mathematical_Formula_(Static_Input)\">Using Mathematical Formula (Static Input)<\/a><\/li>\n<li><a href=\"#Using_Mathematical_Formula_(User_Input)\">Using Mathematical Formula (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_For_Loop_(Static_Input)\">Method #1: Using Mathematical Formula (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import math module using the import keyword.<\/li>\n<li>Give the diameter as static input and store it in a variable.<\/li>\n<li>Give the angle as static input and store it in another variable.<\/li>\n<li>Check if the given angle is greater than or equal to 360 degrees or not using the if conditional statement.<\/li>\n<li>If it is true, then print &#8220;The Arc length cannot be calculated for the given angle&#8221;.<\/li>\n<li>Else, calculate the arc length using the above given mathematical formula and store it in a variable.<\/li>\n<li>Print the arclength of the circle from the given angle.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import math module using the import keyword.\r\nimport math\r\n# Give the diameter as static input and store it in a variable.\r\ngvn_diametr = 15\r\n# Give the angle as static input and store it in another variable.\r\ngvn_angl = 60\r\n# Check if the given angle is greater than or equal to 360 degrees or not using the\r\n# if conditional statement.\r\nif gvn_angl &gt;= 360:\r\n    # If it is true, then print \"The Arc length cannot be calculated for\r\n    # the given angle\".\r\n    print(\"The Arc length cannot be calculated for the given angle.\")\r\nelse:\r\n    # Else, calculate the arc length using the above given mathematical formula and\r\n    # store it in a variable.\r\n    arc_lengt = (3.142857142857143 * gvn_diametr) * (gvn_angl \/ 360.0)\r\n    # Print the arclength of the circle from the given angle.\r\n    print(\"The arc length for the given angle {\",\r\n          gvn_angl, \"} degrees = \", arc_lengt)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The arc length for the given angle { 60 } degrees =  7.857142857142856<\/pre>\n<h3 id=\"Using_For_loop_(User_Input)\">Method #2: Using Mathematical Formula (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import math module using the import keyword.<\/li>\n<li>Give the diameter as user input using the float(input()) function and store it in a variable.<\/li>\n<li>Give the angle as user input using the float(input()) function and store it in another variable.<\/li>\n<li>Check if the given angle is greater than or equal to 360 degrees or not using the if conditional statement.<\/li>\n<li>If it is true, then print &#8220;The Arc length cannot be calculated for the given angle&#8221;.<\/li>\n<li>Else, calculate the arc length using the above given mathematical formula and store it in a variable.<\/li>\n<li>Print the arclength of the circle from the given angle.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import math module using the import keyword.\r\nimport math\r\n# Give the diameter as user input using the float(input()) function and \r\n# store it in a variable.\r\ngvn_diametr = float(input(\"Enter some Random Number = \"))\r\n# Give the angle as user input using the float(input()) function and store it in another variable.\r\ngvn_angl = float(input(\"Enter some Random Number = \"))\r\n# Check if the given angle is greater than or equal to 360 degrees or not using the\r\n# if conditional statement.\r\nif gvn_angl &gt;= 360:\r\n    # If it is true, then print \"The Arc length cannot be calculated for\r\n    # the given angle\".\r\n    print(\"The Arc length cannot be calculated for the given angle.\")\r\nelse:\r\n    # Else, calculate the arc length using the above given mathematical formula and\r\n    # store it in a variable.\r\n    arc_lengt = (3.142857142857143 * gvn_diametr) * (gvn_angl \/ 360.0)\r\n    # Print the arclength of the circle from the given angle.\r\n    print(\"The arc length for the given angle {\",\r\n          gvn_angl, \"} degrees = \", arc_lengt)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some Random Number = 30\r\nEnter some Random Number = 90\r\nThe arc length for the given angle { 90.0 } degrees = 23.57142857142857<\/pre>\n<p>Practice <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Program Examples<\/a> to master coding skills and learn the fundamental concepts in the dynamic programming language Python.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-for-area-of-a-circumscribed-circle-of-a-square\/\">Python Program for Area of a Circumscribed Circle of a Square<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-for-area-of-square-circumscribed-by-circle\/\">Python Program for Area of Square Circumscribed by Circle<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-center-of-the-circle-using-endpoints-of-diameter\/\">Python Program to Find the Center of the Circle using Endpoints of Diameter<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-area-of-a-circular-segment\/\">Python Program to Find Area of a Circular Segment<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program to Find Area of a Circular Segment Given the diameter and angle of the circle, the task is to calculate the arclength from the given angle. An angle is a geometrical figure formed when two rays intersect at the same point on a plane. These rays &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-for-arc-length-from-given-angle\/\"> <span class=\"screen-reader-text\">Python Program for Arc Length from Given Angle<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":23014,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program for Arc Length from Given Angle - Python Programs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/python-programs.com\/python-program-for-arc-length-from-given-angle\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program for Arc Length from Given Angle - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program to Find Area of a Circular Segment Given the diameter and angle of the circle, the task is to calculate the arclength from the given angle. 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