Question

Find the perimeter of sector with angle ${60}^{\circ }$ and radius $14$ cm.

Answer 1

Perimeter is the total length of the shape.

A sector in a circle is made up of two radii and one arc.

length of the radii= $2\times r$=$2\times 14=28cm$

length of the arc= $r\theta$

Given $\theta ={60}^{\circ }=\pi /3radians$

Length of the arc= $r\theta =14\times \pi /3=44/3cm$

Total length=$28+14.67=42.67cm$