{"id":67530,"date":"2022-02-12T20:54:00","date_gmt":"2022-02-12T15:24:00","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=67530"},"modified":"2022-02-12T20:54:00","modified_gmt":"2022-02-12T15:24:00","slug":"pie-chart-definition-formula-examples-how-to-make-a-pie-chart","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-material\/pie-chart\/definition-formula-examples-how-to-make-a-pie-chart\/","title":{"rendered":"Pie Chart Definition, Formula, Examples | How to Make a Pie Chart?"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/pie-chart\/definition-formula-examples-how-to-make-a-pie-chart\/#Pie_Chart_Definition\" title=\"Pie Chart Definition\">Pie Chart Definition<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/pie-chart\/definition-formula-examples-how-to-make-a-pie-chart\/#Steps_to_Make_a_Pie_Chart\" title=\"Steps to Make a Pie Chart\">Steps to Make a Pie Chart<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/pie-chart\/definition-formula-examples-how-to-make-a-pie-chart\/#Advantages_and_Disadvantages_of_Pie_Chart\" title=\"Advantages and Disadvantages of Pie Chart\">Advantages and Disadvantages of Pie Chart<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/pie-chart\/definition-formula-examples-how-to-make-a-pie-chart\/#Example_Questions_Answers\" title=\"Example Questions &amp; Answers\">Example Questions &amp; Answers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/pie-chart\/definition-formula-examples-how-to-make-a-pie-chart\/#FAQs_on_Pie_Chart\" title=\"FAQs on Pie Chart\">FAQs on Pie Chart<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>The pie chart represents data in a circular graph. The pieces of the chart or graph show the data size. The various components are represented by the pieces of a circle and the whole circle is the sum of the values of all components. One can get the pie chart definition, formula, use, solved examples, and steps to create a pie chart in the below sections.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Pie_Chart_Definition\"><\/span>Pie Chart Definition<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A pie chart is also a graph and is a type of pictorial representation of data. It divides the circle into various sectors in order to explain the numeric values. Each section is a proportionate part of the whole circle. We use a pie chart to find the composition of something. The pie chart is also known as the circle chart.<\/p>\n<p>A pie chart is used for data representation. The total of all data in a pie is equal to 360\u00b0 and the total value of a pie is always 100%.<\/p>\n<p>The central angle for a component formula is given as<\/p>\n<p>Central angle for a component = (Value of the component \/ Sum of the values of all components) * 360\u00b0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Steps_to_Make_a_Pie_Chart\"><\/span>Steps to Make a Pie Chart<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Follow the below-mentioned steps to create a pie chart\/ circle chart for the given data.<\/p>\n<ul>\n<li>Enter the given data into a table to make the process easy for you.<\/li>\n<li>Find the sum of values in the table.<\/li>\n<li>Divide each value in the table by sum and multiply the result with 100 to get the percent.<\/li>\n<li>To get the degrees of each value, substitute the values in the formula i.e (Value of each component\/sum) * 360A pie chart is used for the data representation. The total of all data in a pie is equal to 360\u00b0 and the total value of a pie is always 100%.<\/li>\n<li>The central angle for a component formula is given as Central angle for a component = (Value of the component \/ Sum of the values of all components) * 360\u00b0.<\/li>\n<li>Draw a circle and use a protractor to measure the degree of each sector.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Advantages_and_Disadvantages_of_Pie_Chart\"><\/span>Advantages and Disadvantages of Pie Chart<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Advantages<\/p>\n<ul>\n<li>It is simple and easy to understand<\/li>\n<li>Data can be represented visually as a fractional part of the whole.<\/li>\n<li>It helps in providing an effective communication tool for the uninformed audience.<\/li>\n<\/ul>\n<p>Disadvantages<\/p>\n<ul>\n<li>It can represent only one set of data. So, you need a series to compare multiple sets.<\/li>\n<li>If you have too many pieces of data, and even you add labels and numbers may not help here, they themselves may become crowded and hard to read.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Example_Questions_Answers\"><\/span>Example Questions &amp; Answers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Example 1.<\/strong><\/p>\n<p>The following table shows the expenditure in percentage incurred on the construction of a house in a city:<\/p>\n<table border=\"2\">\n<thead>\n<tr>\n<th class=\"tg-0pky\">Item<\/th>\n<th class=\"tg-0pky\">Brick<\/th>\n<th class=\"tg-0pky\">Cement<\/th>\n<th class=\"tg-0pky\">Steel<\/th>\n<th class=\"tg-0pky\">Labour<\/th>\n<th class=\"tg-0lax\">Miscellaneous<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"tg-0pky\">Expenditure (in percentage)<\/td>\n<td class=\"tg-0pky\">18%<\/td>\n<td class=\"tg-0pky\">30%<\/td>\n<td class=\"tg-0pky\">10%<\/td>\n<td class=\"tg-0pky\">12%<\/td>\n<td class=\"tg-0lax\">30%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Draw a pie chart for the above data.<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Total percentage = 100<\/p>\n<p>Central angle for a component = (Value of the component \/ Sum of the values of all components) * 360\u00b0<\/p>\n<p>Calculation of central angles:<\/p>\n<table border=\"2\">\n<thead>\n<tr>\n<th class=\"tg-0pky\">Item<\/th>\n<th class=\"tg-0pky\">Expenditure (in percentage)<\/th>\n<th class=\"tg-0pky\">Central Angle<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"tg-0pky\">Brick<\/td>\n<td class=\"tg-0pky\">18%<\/td>\n<td class=\"tg-0pky\">((18 \/ 100) * 360\u00b0) = 64.8\u00b0<\/td>\n<\/tr>\n<tr>\n<td class=\"tg-0lax\">Cement<\/td>\n<td class=\"tg-0lax\">30%<\/td>\n<td class=\"tg-0lax\">((30 \/ 100) * 360\u00b0) = 108\u00b0<\/td>\n<\/tr>\n<tr>\n<td class=\"tg-0lax\">Steel<\/td>\n<td class=\"tg-0lax\">10%<\/td>\n<td class=\"tg-0lax\">((10 \/ 100) * 360\u00b0) = 36\u00b0<\/td>\n<\/tr>\n<tr>\n<td class=\"tg-0lax\">Labour<\/td>\n<td class=\"tg-0lax\">12%<\/td>\n<td class=\"tg-0lax\">((12 \/ 100) * 360\u00b0 = 43.2\u00b0<\/td>\n<\/tr>\n<tr>\n<td class=\"tg-0lax\">Miscellaneous<\/td>\n<td class=\"tg-0lax\">30%<\/td>\n<td class=\"tg-0lax\">((30 \/ 100) * 360\u00b0) = 108\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Construction for creating a pie chart<\/p>\n<p>Steps of construction:<\/p>\n<p>1. Draw a circle of any convenient radius.<\/p>\n<p>2. Draw a horizontal radius of the circle.<\/p>\n<p>3. Draw sectors starting from the horizontal radius with central angles of 64.8\u00b0, 108\u00b0, 36\u00b0, 43.2\u00b0, and 108\u00b0 respectively.<\/p>\n<p>4. Shade the sectors differently using different colors and label them.<\/p>\n<p><img class=\"size-medium wp-image-5446 aligncenter\" src=\"https:\/\/i1.wp.com\/www.worksheetsbuddy.com\/wp-content\/uploads\/2020\/12\/pie-1.jpg?resize=300%2C182&amp;ssl=1\" \/><\/p>\n<p>Thus, we obtain the required pie chart, shown in the above figure.<\/p>\n<p><strong>Example 2.<\/strong><\/p>\n<p>The marks scored by a student in his examination are shown below:<\/p>\n<table border=\"2\">\n<thead>\n<tr>\n<th class=\"tg-0lax\">Subject<\/th>\n<th class=\"tg-0lax\">English<\/th>\n<th class=\"tg-0lax\">Hindi<\/th>\n<th class=\"tg-0lax\">Maths<\/th>\n<th class=\"tg-0lax\">Science<\/th>\n<th class=\"tg-0lax\">Social<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"tg-0lax\">Marks<\/td>\n<td class=\"tg-0lax\">70<\/td>\n<td class=\"tg-0lax\">85<\/td>\n<td class=\"tg-0lax\">76<\/td>\n<td class=\"tg-0lax\">88<\/td>\n<td class=\"tg-0lax\">92<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Draw a pie chart for the above data.<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>The given table contains the marks of a student in an exam.<\/p>\n<p>The total marks scored by a student = 411<\/p>\n<p>Central angle for a component = (Each subject marks \/ total marks) * 360\u00b0<\/p>\n<p>Calculation of central angles:<\/p>\n<table border=\"2\">\n<thead>\n<tr>\n<th class=\"tg-0lax\">Subject<\/th>\n<th class=\"tg-0lax\">Marks<\/th>\n<th class=\"tg-0lax\">Central Angle<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"tg-0lax\">English<\/td>\n<td class=\"tg-0lax\">70<\/td>\n<td class=\"tg-0lax\">(70 \/ 411) * 360\u00b0 = 61.31\u00b0<\/td>\n<\/tr>\n<tr>\n<td class=\"tg-0lax\">Hindi<\/td>\n<td class=\"tg-0lax\">85<\/td>\n<td class=\"tg-0lax\">(85 \/ 411) * 360\u00b0 = 74.45\u00b0<\/td>\n<\/tr>\n<tr>\n<td class=\"tg-0lax\">Maths<\/td>\n<td class=\"tg-0lax\">76<\/td>\n<td class=\"tg-0lax\">(76 \/ 411) * 360\u00b0 = 66.56\u00b0<\/td>\n<\/tr>\n<tr>\n<td class=\"tg-0lax\">Science<\/td>\n<td class=\"tg-0lax\">88<\/td>\n<td class=\"tg-0lax\">(88 \/ 411) * 360\u00b0 = 77.08\u00b0<\/td>\n<\/tr>\n<tr>\n<td class=\"tg-0lax\">Social<\/td>\n<td class=\"tg-0lax\">92<\/td>\n<td class=\"tg-0lax\">(92 \/ 411) * 360\u00b0 = 80.58\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Construction for creating a pie chart<\/p>\n<p>Steps of construction:<\/p>\n<p>1. Draw a circle.<\/p>\n<p>2. Draw sectors starting from the horizontal radius with central angles of 61.31\u00b0, 74.45\u00b0, 66.56\u00b0, 77.08\u00b0, 80.58\u00b0 respectively.<\/p>\n<p>3. Shade the sectors differently using different colors and label them.<\/p>\n<p><img class=\"size-medium wp-image-5470 aligncenter\" src=\"https:\/\/i0.wp.com\/www.worksheetsbuddy.com\/wp-content\/uploads\/2020\/12\/pie-2.jpg?resize=300%2C179&amp;ssl=1\" \/><\/p>\n<p>Thus, we obtain the required pie chart, shown in the above figure.<\/p>\n<p><strong>Example 3.<\/strong><\/p>\n<p>The data on the mode of transport used by 1000 students are given below:<\/p>\n<table border=\"2\">\n<thead>\n<tr>\n<th class=\"tg-0lax\">Mode of Transport<\/th>\n<th class=\"tg-0lax\">Bus<\/th>\n<th class=\"tg-0lax\">Cycle<\/th>\n<th class=\"tg-0lax\">Train<\/th>\n<th class=\"tg-0lax\">Car<\/th>\n<th class=\"tg-0lax\">Scooter<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"tg-0lax\">Number of Students<\/td>\n<td class=\"tg-0lax\">150<\/td>\n<td class=\"tg-0lax\">50<\/td>\n<td class=\"tg-0lax\">200<\/td>\n<td class=\"tg-0lax\">100<\/td>\n<td class=\"tg-0lax\">500<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Represent the data on a pie chart.<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>The given table shows the mode of transport used by 1000 students to reach the school.<\/p>\n<p>Total Number of Students = 1000<\/p>\n<p>Central angle for a component = (Value of the component \/ Sum of the values of all components) * 360\u00b0<\/p>\n<p>Calculation of central angles:<\/p>\n<table border=\"2\">\n<thead>\n<tr>\n<th class=\"tg-0lax\">Mode of Transport<\/th>\n<th class=\"tg-0lax\">Number of Students<\/th>\n<th class=\"tg-0lax\">Central Angle<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"tg-0lax\">Bus<\/td>\n<td class=\"tg-0lax\">150<\/td>\n<td class=\"tg-0lax\">(150 \/ 1000) * 360 = 54\u00b0<\/td>\n<\/tr>\n<tr>\n<td class=\"tg-0lax\">Cycle<\/td>\n<td class=\"tg-0lax\">50<\/td>\n<td class=\"tg-0lax\">(50 \/ 1000) * 360 = 18\u00b0<\/td>\n<\/tr>\n<tr>\n<td class=\"tg-0lax\">Train<\/td>\n<td class=\"tg-0lax\">200<\/td>\n<td class=\"tg-0lax\">(200 \/ 1000) * 360 = 72\u00b0<\/td>\n<\/tr>\n<tr>\n<td class=\"tg-0lax\">Car<\/td>\n<td class=\"tg-0lax\">100<\/td>\n<td class=\"tg-0lax\">(100 \/ 1000) * 360 = 36\u00b0<\/td>\n<\/tr>\n<tr>\n<td class=\"tg-0lax\">Scooter<\/td>\n<td class=\"tg-0lax\">500<\/td>\n<td class=\"tg-0lax\">(500 \/ 1000) * 360 = 180\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Construction for creating a pie chart<\/p>\n<p>1. Draw a circle of any convenient radius.<\/p>\n<p>2. Draw a horizontal radius of the circle.<\/p>\n<p>3. Draw sectors starting from the horizontal radius with central angles of 54\u00b0, 18\u00b0, 72\u00b0, 36\u00b0, and 180\u00b0.<\/p>\n<p>4. Shade the sectors differently using different colors and label them.<\/p>\n<p><img class=\"size-medium wp-image-5490 aligncenter\" src=\"https:\/\/i2.wp.com\/www.worksheetsbuddy.com\/wp-content\/uploads\/2020\/12\/pie-3.jpg?resize=300%2C179&amp;ssl=1\" \/>Thus, we obtain the required pie chart, shown in the above figure.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQs_on_Pie_Chart\"><\/span>FAQs on Pie Chart<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>1. What are the uses of a pie chart?<\/p>\n<p>A pie chart is used to represent categorical data, to compare areas of growth in a business like turnover profit and exposure.<\/p>\n<p>2. What are the pie chart examples?<\/p>\n<p>The real-life examples of the pie charts are a representation of kinds of cars sold in a month, types of food items liked by people in a room, marks scored by students in a class, etc<\/p>\n<p>3. What is the formula to calculate the percentage of each component of a pie chart?<\/p>\n<p>The pie chart formula to calculate the central angle for a component is as follows:<\/p>\n<p>Central angle for a component = (Value of the component \/ Sum of the values of all components) * 360\u00b0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The pie chart represents data in a circular graph. The pieces of the chart or graph show the data size. 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