Chapter D, Problem 1E

To determine

To convert: The degree $210°$ into radian measure.

Answer to Problem 1E

The degree $210°$ converted as $\frac{7\pi }{6}$ radian.

Explanation of Solution

Formula used:

$\pi \text{rad}={180}^{\circ }$

Calculation:

From the above formula, it is given that $1^{\circ }=\frac{\pi }{180}\text{rad}$.

Thus, the degree $210°$ given by multiply the number 210 into $\frac{\pi }{180}$.

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

Thus, the degree ${210}^{\circ }$ converted as $\frac{7\pi }{6}$ radian.