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Question

A circle is inserted inside a square, such that the edge of the circle touches the sides of the square.If X = 14 cm, the area of the shaded portion will be __sq.cm.


Solution

Here we are asked to find the area of the shaded area. The area of the shaded area should be the difference between the area of the square and the area of the circle.

Here we are given the side of the square, x = 14 cm The equation for the area of the square is = x2 = 142 

= 196cm2 

Therefore the radius of the circle will be, r =d2

r = 142 = 7 cm

Area of the circle,

A=π×r2                      (use π = 22/7)

= (227)×72   = 154 cm2        

Area of the shaded portion = Area of the square - Area of the circle

= 196 - 154 =42 cm2 

Therefore the area of the shaded portion will be 42 cm2 

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