{"id":22919,"date":"2021-09-29T20:14:31","date_gmt":"2021-09-29T14:44:31","guid":{"rendered":"https:\/\/python-programs.com\/?p=22919"},"modified":"2021-11-22T18:35:35","modified_gmt":"2021-11-22T13:05:35","slug":"python-program-to-find-area-of-a-circular-sector","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-area-of-a-circular-sector\/","title":{"rendered":"Python Program To Find Area of a Circular Sector"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-for-arc-length-from-given-angle\/\">Python Program for Arc Length from Given Angle<\/a><br \/>\nA circular sector, also known as a circle sector, is a portion of a disc bounded by two radii and an arc, with the smaller area known as the minor sector and the larger as the major sector.<\/p>\n<p>Given the radius and angle of a circle, the task is to calculate the area of the circular sector in python.<\/p>\n<blockquote><p><strong>Formula:<\/strong><\/p>\n<p>Area of sector = (angle\/360)*(pi * radius\u00b2)<\/p>\n<p>where pi=3.1415&#8230;.<\/p><\/blockquote>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given radius = 24\r\nGiven Angle = 90<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The area of circular sector for the given angle { 90 } degrees =  452.57142857142856<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given radius = 15.5\r\nGiven Angle =  45<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The area of circular sector for the given angle { 45.0 } degrees = 94.38392857142857<\/pre>\n<h2>Program To Find Area of a Circular Sector in Python<\/h2>\n<p>Below are the ways to calculate the area of the circular sector for the given radius and 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_Mathematical_Formula_(Static_Input)\">Method #1: Using Mathematical Formula (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the radius 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>Take a variable and initialize its value to 22\/7.<\/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;Invalid Angle. Please enter the other&#8221;.<\/li>\n<li>Else, calculate the area of the circular sector using the above given mathematical formula and store it in a variable.<\/li>\n<li>Print the area of the circular sector for 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\"># Give the radius as static input and store it in a variable.\r\ngvn_radiuss = 24\r\n# Give the angle as static input and store it in another variable.\r\ngvn_angl = 90\r\n# Take a variable and initialize its value to 22\/7.\r\ngvn_pi = 22\/7\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 \"Invalid Angle. Please enter the other\"\r\n    print(\"Invalid Angle. Please enter the other\")\r\nelse:\r\n    # Else, calculate the area of circular sector using the above given mathematical\r\n    # formula and store it in a variable.\r\n    area_of_sectr = (gvn_pi * gvn_radiuss ** 2) * (gvn_angl \/ 360)\r\n    # Print the area of circular sector for the given angle.\r\n    print(\"The area of circular sector for the given angle {\",\r\n          gvn_angl, \"} degrees = \", area_of_sectr)\r\n<\/pre>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">#include &lt;iostream&gt;\r\n#include&lt;math.h&gt;\r\nusing namespace std;\r\n\r\nint main() {\r\n int gvn_radiuss = 24;\r\n   int gvn_angl = 90;\r\n   int gvn_pi = 22 \/ 7;\r\n  if ( gvn_angl &gt;= 360 ) {\r\n    printf ( \"Invalid Angle. Please enter the other\\n\" );\r\n  }\r\n  else {\r\n     float area_of_sectr = ( gvn_pi * gvn_radiuss * gvn_radiuss ) * ( gvn_angl \/ 360 );\r\n    printf ( \"The area of circular sector for the given angle {%d} degrees = %d\\n\", gvn_angl, area_of_sectr );\r\n  }\r\n\r\n  return 0;\r\n}\r\n\r\n\r\n\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The area of circular sector for the given angle { 90 } degrees =  452.57142857142856<\/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>Give the radius 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>Take a variable and initialize its value to 22\/7.<\/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;Invalid Angle. Please enter the other&#8221;.<\/li>\n<li>Else, calculate the area of the circular sector using the above given mathematical formula and store it in a variable.<\/li>\n<li>Print the area of the circular sector for 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\"># Give the radius as user input using the float(input()) function and store it in a variable.\r\ngvn_radiuss = 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# Take a variable and initialize its value to 22\/7.\r\ngvn_pi = 22\/7\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 \"Invalid Angle. Please enter the other\"\r\n    print(\"Invalid Angle. Please enter the other\")\r\nelse:\r\n    # Else, calculate the area of circular sector using the above given mathematical\r\n    # formula and store it in a variable.\r\n    area_of_sectr = (gvn_pi * gvn_radiuss ** 2) * (gvn_angl \/ 360)\r\n    # Print the area of circular sector for the given angle.\r\n    print(\"The area of circular sector for the given angle {\",\r\n          gvn_angl, \"} degrees = \", area_of_sectr)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some Random Number = 15.5\r\nEnter some Random Number = 45\r\nThe area of circular sector for the given angle { 45.0 } degrees = 94.38392857142857<\/pre>\n<p>Grab the opportunity and utilize the <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Program Code Examples<\/a> over here to prepare basic and advanced topics too with ease and clear all your doubts.<\/p>\n<ul>\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<li><a href=\"https:\/\/python-programs.com\/python-program-for-arc-length-from-given-angle\/\">Python Program for Arc Length from Given Angle<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program for Arc Length from Given Angle A circular sector, also known as a circle sector, is a portion of a disc bounded by two radii and an arc, with the smaller area known as the minor sector and the larger as the major sector. Given the &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-area-of-a-circular-sector\/\"> <span class=\"screen-reader-text\">Python Program To Find Area of a Circular Sector<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":23027,"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 Area of a Circular Sector - 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-area-of-a-circular-sector\/\" \/>\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 Area of a Circular Sector - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program for Arc Length from Given Angle A circular sector, also known as a circle sector, is a portion of a disc bounded by two radii and an arc, with the smaller area known as the minor sector and the larger as the major sector. 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