# What is (pi)/6  radians in degrees?

Jan 2, 2016

$\frac{\pi}{6}$ radians is 30 degrees

#### Explanation:

A radian is the angle subtended such that the arc formed is the same length as the radius.
There are $2 \pi$ radians in a circle, or 360 degrees. Therefore, $\pi$ is equal to 180 degrees.
$\frac{180}{6} = 30$

Jan 2, 2016

You can convert between radians and degrees using the formula
x = ø(180/π), assuming x degrees represents the angle that you want to find.

#### Explanation:

x = π/6(180/π)

x= (180π)/(6π)

x= 30˚

So, π/6 measures 30˚.

Hopefully you understand now.