Chapter A, Problem 1E

To determine

To convert: The degree $210°$ into radians.

Answer to Problem 1E

The degree $210°$ is equal to $\underset{\_}{\frac{7\pi }{6}\text{ radians}}$.

Explanation of Solution

Formula used:

The relation between degrees and radians is given by, $\pi \text{rad}=180°$.

Calculation:

Re write the above formula as, $1°=\frac{\pi }{180}\text{rad}$.

Thus, $210°$ is converted into radian as,

$\begin{array}{c}1°=\frac{\pi }{180}\text{rad}\\ 210°=210\left(\frac{\pi }{180}\right)\\ =\frac{21\pi }{18}\\ =\frac{7\pi }{6}\end{array}$

Thus, the degree $210°$ is equal to $\underset{\_}{\frac{7\pi }{6}\text{ radians}}$.