Q. 285.0( 2 Votes )

In the given figure, OABC is a square of side 7 cm. If COPB is a quadrant of a circle wit centre C find the area of the shaded region.


Answer :

Given:

Side of square = 7 cm


Radius of the quadrant = 7 cm


Area of square = side × side


= 7 × 7 = 49 cm2


Area of circle = πr2


Area of a quadrant = πr2


= × × 7 × 7


= = 38.5 cm2


Thus, the area of shaded region = Area of square – Area of quadrant


= 49 – 38.5 = 10.5 cm2


Hence, the area of the shaded region is 10.5 cm2.


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