Question

Calculate the radian measure of a 30 degree angle. Use any method you like, including sketching in the circle diagram provided. Explain or show your reasoning.

Answer 1

The radian measure of 30° is
`(\pi)/(6)` radians.

Explanation:

A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:

`x = (30^(\circ))/(360^(\circ))* 2\pi`

`x = (\pi)/(6)\,rad`

The radian measure of 30° is
`(\pi)/(6)` radians.