Question

The radius of a circle is 14 cm. If angle subtended by an arc of a circle at centre is ${45}^{\circ }$, then length of arc is

• A. $44cm$
• B. $11cm$
• C. $56cm$
• D. $28cm$

Answer 1

Answer: (B)

$11cm$

$r=14cm,\theta ={45}^{\circ }$

Length subtended by Arc$=\frac{2\pi r}{{360}^{\circ }}\times \theta =\frac{2\times 22\times 14\times 45}{7\times 360}=11cm$