In the given figure, OABC is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the shaded region.


Given:

Radius of Circle = 3.5 cm


OD = 2 cm


Area of Quadrant = πr2


Area of Quadrant OABC = × × 3.5 × 3.5


= 9.625 cm2


Area of Triangle = × Base × Height


Area of COD = × 3.5 × 2


= 3.5 cm2


Area of Shaded Region = Area of Quadrant OABC – Area of COD


= 38.5 – 3.5 = 35 cm2


Hence, the area of shaded region is 35 cm2.


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