Chapter D, Problem 1E

To determine

Convert the angle $210°$ to radians.

Answer to Problem 1E

The value of $210°=\frac{7\pi }{6}\text{ Radians}$ .

Explanation of Solution

Given:

The angle is $210°$ .

Concept Used:

The relation between degrees and radians is $\pi \text{}\text{ Rad}=180°$ .

Calculation:

With the help of concept stated above, the angle $210°$ in radians is converted as:

  $\begin{array}{c}210°=210°\cdot \frac{\pi }{180°}\text{rad}\\ =\frac{7\pi }{6}\text{ Radians}\end{array}$

Hence, the value of $210°=\frac{7\pi }{6}\text{ Radians}$ .