Mensuration (C10)

In Figure, a square OABC is inscribed in a quadrant OPBQ. If OA = 15 cm, find the area of the shaded region. (Use π = 3.14)

Answer

Radius of quadrant = OB2 = 152 + 152

OB = 15√2 cm

Shaded area = Area of quadrant – Area of square

= 1/4 × (3.14) × (15√2)2 – (15)2

= (15)2 (1.57 – 1)

= 128.25 cm2