Q4 of 46 Page 73

In the given figure, find the area of the shaded portion if AC = 54 cm, BC = 10 cm, and O is the centre of bigger circle.

Given, AC = 54 cm


BC = 10 cm


AB = 54-10 = 44 cm


Radius of bigger circle =


= 27 cm


Area of bigger circle = πr2



= 2291.14


Radius of smaller circle =


= 22 cm


Area of smaller circle = πR2



= 1521.14


Area of the shaded portion = Area of bigger circle- Area of smaller


Circle


= 2291.14-1521.14


= 769.99 cm2


= 770 cm2


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