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 = πr^{2}

∴ Area of Quadrant OABC = × × 3.5 × 3.5

= 9.625 cm^{2}

∵ Area of Triangle = × Base × Height

∴ Area of COD = × 3.5 × 2

= 3.5 cm^{2}

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

= 38.5 – 3.5 = 35 cm^{2}

__Hence, the area of shaded region is 35 cm ^{2}.__

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