Page 261 - ICSE Math 8
P. 261

Step 3:  Draw a circle of any radius.
                    Step 4:  Draw a horizontal line as the radius of the circle.

                    Step 5:  Starting with this horizontal radius and moving in clockwise direction, draw sectors using the central
                            angles calculated in step 2 one at a time till all the components are exhausted.

                    Step 6:  Shade the sectors using different colours/designs and name them.

                    Reading a pie chart
                    The process of obtaining various information related to the given data from a given pie chart is known as
                    reading pie chart.
                    For reading a pie chart, we need to know the following results:

                                                  Central angle of the component   Total value of all the co×  m mponents
                      (i)  Value of a component =                                 
                                                                               360
                                                            Central angle of the component   100×
                      (ii)  Percentage value of a component =                  
                                                                           360

                    Example 7:    There are 900 creatures in a zoo as per the table given below:

                                                                                               Water       Other land
                                   Kind of creature      Birds      Reptiles      Beasts
                                                                                              animals       animals
                                    No. of creatures      125          50          150          175           400

                                  Represent the above data in a pie chart.

                    Solution:     Total number of creatures = 900
                                                                                                    
                                                              Ê  Number of creatures ofa kind      ˆ
                                  Central angle for a creature =  Á  Total numberofcreatures  ¥  360 ˜ ¯
                                                              Ë
                                                        Calculation of Central Angle

                                    Kind of creature     No. of creatures         Central angle


                                                                                  125      °
                                   Birds                        125                  × 360    = 50°
                                                                                  900     


                                                                                   50      °
                                   Reptiles                     50                   × 360   = 20°
                                                                                  900     


                                                                                 Ê 150     ˆ ∞
                                   Beasts                       150              Á Ë  900  ¥ 360 ˜   = 60°
                                                                                           ¯


                                                                                 Ê 175     ˆ ∞
                                   Water animals                175              Á Ë  900  ¥ 360 ˜  = 70°
                                                                                           ¯



                                                                                   400     °
                                   Other land animals           400                  × 360    = 160°
                                                                                  900     



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