In a circle of radius 7 cm, a square ABCD is inscribed. Find the area of the circle which is outside the square.

Given:

Radius of the circle = 7 cm


Diameter of the circle = 14 cm


Here, diagonal of square = 14 cm


Side of a square =


Side = = 7√2 cm


Area of square = side × side


= 7√2 × 7√2


= 49 × 2 = 98 cm2


Area of circle = πr2


= × 7 × 7 = 22 × 7 = 154 cm2


Thus, the area of the circle outside the square


= Area of circle – Area of square = 154 – 98 = 56 cm2


Hence, the area of the required region is 56 cm2.


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