Page 169 - New Medley 5 Semester 2
P. 169

Thus, we can conclude that the circumference is approximately three times
        the diameter. The symbol ‘’ means approximately equal to.


        Therefore, circumference  3 × diameter



        Example 4:  Find  the  approximate  circumference  of  a  circle  with
                            diameter 8 cm.


        Solution:           Given, diameter of a circle = 8 cm

                            We know that circumference   3 × diameter

                                                                3 × 8 cm   24 cm

                            Thus, the approximate circumference of the circle is 24 cm.



        Example 5:  Find the approximate circumference of a circle with radius
                            3.5 cm.


        Solution:           Given, radius of a circle = 3.5 cm

                            So,                  diameter = 2 × radius = 2 × 3.5 cm = 7.0 cm

                            So,           circumference  3 × diameter  3 × 7 cm  21 cm


                            Thus,  the  circumference  of  a  circle  with  radius  3.5  cm  is
                            approximately 21 cm.


        Example  6 :  Compute  the  approximate  radius  of  a  circle  whose

                            circumference is 48 cm.

        Solution:           Given, circumference of a circle = 48 cm


                            We know that  circumference   3 × diameter
                                                Diameter  circumference  3


                                                                (48  3) cm  16 cm

                            Since radius is half of the diameter, therefore

                                                                   1
                                                     Radius =         × 16 cm = 8 cm
                                                                   2

                            Thus, the approximate radius of the circle is 8 cm.


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