In Figure, a square OABC is inscribed in a quadrant OPBQ
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