Question

Convert the given angle measure from degrees to radians: 300°.

Answer 1

`\frac 53 \pi`

Explanation:

Simple formula:
`\frac \alpha {\alpha°} =\frac \pi {180°}` where
`\alpha` is the angle in radians, and
`\alpha°` is the angle in degrees. By plugging numbers you'll get the result.

Another way to get the result, which I like more, is to think of it in parts of the whole circle. 300° is 5/6 of a circle, and a circle measures
`2\pi` Hence, you want 5/6 of
`2\pi`, or
`\frac 53 \pi`