{"id":16982,"date":"2021-08-12T09:25:23","date_gmt":"2021-08-12T03:55:23","guid":{"rendered":"https:\/\/python-programs.com\/?p=16982"},"modified":"2021-11-22T18:38:31","modified_gmt":"2021-11-22T13:08:31","slug":"python-program-to-find-out-the-arc-length-of-an-angle","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-out-the-arc-length-of-an-angle\/","title":{"rendered":"Python Program to Find out the Arc Length of an Angle"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-calculate-surface-area-and-volume-of-a-cylinder\/\">Python Program to Calculate Surface Area and Volume of a Cylinder<\/a><br \/>\n<strong>Arc Length :<\/strong><\/p>\n<p>The length of an arc is defined as the length of a circle&#8217;s circumference.<\/p>\n<p>The arc length <strong>formula<\/strong> is as follows:<\/p>\n<p>Arc length = <strong>(\u03c0*d) * (A\/360)<\/strong><\/p>\n<p>where &#8216;d &#8216; is the diameter of the circle.<\/p>\n<p>&#8216;A&#8217; is the angle.<\/p>\n<p>Given the diameter and angle of the circle, and the task is to find the arc length of the given angle.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example 1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Diameter  = 10\r\nGiven Angle = 100<\/pre>\n<p><strong>Output:\u00a0<\/strong><\/p>\n<pre id=\"codeOutputPre\">The arc length of the given angle = 8.727<\/pre>\n<p><strong>Example 2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Diameter = 15\r\nGiven Angle =\u00a0 450<\/pre>\n<p><strong>Output:\u00a0<\/strong><\/p>\n<pre id=\"codeOutputPre\">The above Entered Angle is Invalid<\/pre>\n<h2>Program to Find out the Arc Length of an Angle<\/h2>\n<p>Below are the ways to find the arc length of the given angle.<\/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_Mathematical_Formula_(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 of the circle 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 using the if conditional statement.<\/li>\n<li>If the statement is true, then print &#8220;The above-Entered Angle is Invalid&#8221;.<\/li>\n<li>Else calculate the Arc length of the given angle using the above mathematical formula, math. pi () method and store it in another variable.<\/li>\n<li>Print the arc length of 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 of the circle as static input\u00a0and store it in a variable.\r\ngvn_diametr = 10\r\n# Give the angle as static input\u00a0and store it in another variable.\r\ngvn_Angle = 100\r\n# Check if the given angle is greater than or equal to 360 using if conditional statement.\r\nif gvn_Angle &gt;= 360:\r\n  # If the statement is true, then print \"The above Entered Angle is Invalid\".\r\n    print(\"The above Entered Angle is Invalid\")\r\nelse:\r\n    # Else Calculate the Arc length of the given angle using the above mathematical formula,\r\n    # math.pi() method and store it in another variable.\r\n    Arc_len = (math.pi*gvn_diametr) * (gvn_Angle\/360)\r\n# Print the arc length of the given angle.\r\n    print(\"The arc length of the given angle = %.3f\" % Arc_len)\r\n<\/pre>\n<p><strong>Output:\u00a0<\/strong><\/p>\n<pre id=\"codeOutputPre\">The arc length of the given angle = 8.727<\/pre>\n<h3 id=\"Using_Mathematical_Formula_(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 of the circle as user input using the float(input()) function\u00a0and store it in a variable.<\/li>\n<li>Give the angle as user input using the float(input()) function\u00a0and store it in another variable.<\/li>\n<li>Check if the given angle is greater than or equal to 360 using the if conditional statement.<\/li>\n<li>If the statement is true, then print &#8220;The above-Entered Angle is Invalid&#8221;.<\/li>\n<li>Else Calculate the Arc length of the given angle using the above mathematical formula, math.pi () method and store it in another variable.<\/li>\n<li>Print the arc length of 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 of the circle as user input using the float(input()) function\u00a0and\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\u00a0and\r\n# store it in another variable.\r\ngvn_Angle = float(input(\"Enter some random number = \"))\r\n# Check if the given angle is greater than or equal to 360 using if conditional statement.\r\nif gvn_Angle &gt;= 360:\r\n  # If the statement is true, then print \"The above Entered Angle is Invalid\".\r\n    print(\"The above Entered Angle is Invalid\")\r\nelse:\r\n# Else Calculate the Arc length of the given angle using the above mathematical formula,\r\n# math.pi() method and store it in another variable.\r\n    Arc_len = (math.pi*gvn_diametr) * (gvn_Angle\/360)\r\n# Print the arc length of the given angle.\r\n    print(\"The arc length of the given angle = %.3f\" % Arc_len)\r\n<\/pre>\n<p><strong>Output:\u00a0<\/strong><\/p>\n<pre>Enter some random number = 15\r\nEnter some random number = 90\r\nThe arc length of the given angle = 11.781<\/pre>\n<p>Explore more instances related to python concepts from\u00a0<a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a>\u00a0Guide and get promoted from beginner to professional programmer level in Python Programming Language.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-gst\/\">Python Program to Calculate GST<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-the-area-of-a-trapezoid\/\">Python Program to Calculate the Area of a Trapezoid<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-the-value-of-npr\/\">Python Program to Calculate the Value of nPr<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-seed-of-a-number\/\">Program to Calculate Seed of a Number<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program to Calculate Surface Area and Volume of a Cylinder Arc Length : The length of an arc is defined as the length of a circle&#8217;s circumference. The arc length formula is as follows: Arc length = (\u03c0*d) * (A\/360) where &#8216;d &#8216; is the diameter of &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-out-the-arc-length-of-an-angle\/\"> <span class=\"screen-reader-text\">Python Program to Find out the Arc Length of an Angle<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":17031,"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 to Find out the Arc Length of an 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-to-find-out-the-arc-length-of-an-angle\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Find out the Arc Length of an Angle - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program to Calculate Surface Area and Volume of a Cylinder Arc Length : The length of an arc is defined as the length of a circle&#8217;s circumference. 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