Chapter 9, Problem 7T

Solution

Convert the given radian measure into degree measure.

  $480°$

Given information:

The given measure is $\frac{8\pi }{3}$

Formula used:

• The radian measure can be converted into degree measure using

  $1radian=1\text{ rad}\times \left(\frac{\text{180 }}{\pi }\right)$

Calculation:

To convert $\frac{8\pi }{3}$ into degree measure, use the above formula.

Thus

  $\begin{array}{c}\frac{8\pi }{3}\text{ radian}=\frac{8\pi }{3}\times \left(\frac{180}{\pi }\right)\text{ degree}\\ =(8\times 60)\text{ degree}\\ =480\text{ degree}\\ =480°\end{array}$

Hence, $\frac{8\pi }{3}$ is equivalent to $480°$