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

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 = OB^{2} = 15^{2} + 15^{2}

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 cm^{2}