# What is (4pi)/3  radians in degrees?

##### 1 Answer
Dec 19, 2015

${240}^{\circ}$

#### Explanation:

Since we know our good old friend the unit circle is $2 \pi$ radians and also $360$ degrees

We get a conversion factor of $\frac{2 \pi}{360}$$\text{radians"/"degrees}$ which can be simplified to $\frac{\pi}{180}$$\text{radians"/"degrees}$

Now to solve the problem

$\frac{4 \pi}{3}$ * $\frac{180}{\pi}$ = ${240}^{\circ}$