+0

# Math

0
210
1

A circle has a radius of 12.6 cm. What is the exact length of an arc formed by a central angle measuring 120°?

Guest Apr 30, 2017
Sort:

$$\frac{\text{arc length}}{\text{circumference}}=\frac{\text{central angle measure}}{360^{\circ}} \\~\\ \frac{\text{arc length}}{2\pi * 12.6}=\frac{120^{\circ}}{360^{\circ}} \\~\\ \text{arc length}=\frac{120^{\circ}}{360^{\circ}}(2\pi *12.6)=\frac{42\pi}{5}\approx26.389 \text{ cm}$$