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              \ 06-Jan-2025  Bharat Arora   Proof-6            Reader’s Sign _______________________ Date __________






                                                                                     4
                      Play                      4                                      × 360° =  60°
                                                                                    24
                                                                                     2
                    Others                      2                                      × 360° =  30°
                                                                                    24
                     Total                      24                                      360°
            Now, draw a circle of any radius and divide it into sectors according to the central angle of all
            components.

                                                         Other
                                                        2 hours
                                                                          Sleep
                                                  Play                   8 hours
                                                 4 hours





                                                  Homework         School
                                                    4 hours       6 hours
            Example 6: The given data shows the choice of favourite food for a group of people.

             Favourite food            North Indian        South Indian           Chinese              Others
             Number of people               30                   40                  25                  25

            Represent the data through a pie chart.
            Solution: We first calculate the central angle for each component as shown below.

                Favourite food        Number of people                      Number of people who like a food
                                                             Central angle =                                 × 360°
                                                                                 Total numberr of people

                                                                                 30
             North Indian                     30                                    × 360° =  90°
                                                                                120
                                                                                 40
             South Indian                     40                                    × 360° =  120°
                                                                                120
                                                                                 25
             Chinese                          25                                    × 360° = 75°
                                                                                120
                                                                                 25
             Others                           25                                    × 360° = 75°
                                                                                120

             Total                           120                                      360°
            Now, draw a circle of any radius and divide it into sectors according to the central angle of all
            components.


                                               Others                North Indian
                                                 25                      30



                                                                        South Indian
                                                 Chinese                     40
                                                   25

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