Question

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

• A. 11 cm
• B. 22 cm
• C. 33 cm
• D. 66 cm

Answer 1

The correct option is C 33 cm

Length of arc = $\frac{Angle}{{360}^o}$$\times$2$\pi$r
= $\frac{{135}^o}{{360}^o}$$\times$2$\times$$\frac{22}{7}$$\times$14
= $\frac{3}{8}$$\times$2$\times$$\frac{22}{7}$$\times$14
= 33 cm