Question

In a circle of radius 63 cm, if the length of the circular arc is 22 cm, then find the angle subtended by it at the centre.

• A. ${20}^{\circ }$
• B. ${30}^{\circ }$
• C. ${40}^{\circ }$
• D. ${60}^{\circ }$

Answer 1

The correct option is C ${40}^{\circ }$

Length of arc = $\frac{angle}{{360}^{\circ }}$$\times$2$\pi$r
44 = $\frac{angle}{{360}^{\circ }}$$\times$2$\times$$\frac{22}{7}$$\times$63
44 = $\frac{angle}{{360}^{\circ }}$$\times$2$\times$22$\times$9
44 = $\frac{angle}{{360}^{\circ }}$$\times$44$\times$9
angle = $\frac{{360}^{\circ }}{9}$ = ${40}^{\circ }$