In the given figure, a square OABC has been inscribed in the quadrant OPBQ. If OA = 20 cm then the area of the shaded region is [take π = 3.14]
Length of side of square = OA = 20 cm
Radius of Quadrant = OB = 
cm = 20√2 cm
Area of Quadrant = πR2 × θ/360 = 3.14 × 20√2 × 20√2 × 90/360 = 628 cm2
Area of Square = a2 = 202 cm2 = 400 cm2
Area of Shaded region = Area of Quadrant - Area of Square
= 628 cm2 – 400 cm2
= 228 cm2
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