Question

OPQ is the sector of a circle having centre at O and radius 15 cm. If m∠POQ = 30°, find the area enclosed by arc PQ and chord PQ.

Answer 1

Here, r = 15 cm 

m∠POQ = 30°

\(\left(30 \times \frac{\pi}{180}\right)^{c}\)

\(∴ θ = \left(\frac{\pi}{6}\right)^{c}\)

Draw QM ⊥ OP 

In ΔOQM,

Shaded portion indicates the area enclosed by arc PQ and chord PQ. 

∴ A(shaded portion) 

= A(sector OPQ) – A(ΔOPQ)