Question

Find the area of the sector, if it subtends ${135}^o$ angle at center of circle whose radius is 14 cm.

• A. 231 $c{m}^2$
• B. 341 $c{m}^2$
• C. 462 $c{m}^2$
• D. 693 $c{m}^2$

Answer 1

The correct option is A 231 $c{m}^2$

Area of sector = $\frac{Angle}{{360}^o}$$\times$$\pi$$r^2$
= $\frac{{135}^o}{{360}^o}$$\times$$\frac{22}{7}$$\times$${14}^2$
= $\frac{3}{8}$$\times$$\frac{22}{7}$$\times$196
= 231 $c{m}^2$