AB is a tangent to a circle whose radius is 10 cm. The area shaded portion is:

Answer & explanation
Correct answer: option 1
ΔAOB is an isosceles right angle triangle of side OA = AB = 10 cm
Area of shaded region = area of Δ AOB - area of sector
= \(\frac{1}{2}\) × 10 × 10 - \(\pi \) (10)2 \(\frac{45°}{360°}\)
= (50 - \(\frac{25}{2}\) \(\pi \)) sq. cm