Question

The length of an arc is 35m. If the radius of the circle is 14m, find the angle subtended by the arc.

Answer 1

We know that, length of an arc =$\frac{\theta }{360}X2\pi r$
⇒$35=\frac{\theta }{360}\times 2\times 3.14\times 14$

⇒$\theta =\frac{360\times 35}{2\times 3.14\times 14}$

⇒$\theta =143.3^{\circ }$

Therefore, the angle subtended by the arc is $143.3^{\circ }$