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

Answer:

The radian measure of 30° is $\frac{\pi}{6}$ radians.

Step-by-step 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:

$x = \frac{30^{\circ}}{360^{\circ}}\times 2\pi$

$x = \frac{\pi}{6}\,rad$

The radian measure of 30° is $\frac{\pi}{6}$ radians.