Question

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

Answer 1

Answer:

$\frac 53 \pi$

Step-by-step 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 $\frac 53 \pi$