Question

In the figure, m$\angle POQ={30}^{\circ }$ and radius OP =12 cm. Find the given area of sector O-PRQ (Given $\pi$ = 3.14)

• A. $37.68c{m}^2$
• B. $57.68c{m}^2$
• C. $47.68c{m}^2$
• D. none of these

Answer 1

The correct option is A $37.68c{m}^2$

Radius $OP=OQ=r=12$ CM

$\theta =30$

and PM is perpendicular to OQ

Area of a sector of a circle $=\pi r^2\left(\frac{\theta }{360}\right)$

$=3.14\times (12{)}^2\times \left(\frac{30}{360}\right)$

$=37.68c{m}^2$