Chapter 5, Problem 1MCCP

In Exercises 1-2 convert each angle in degrees to radians. Express your answer as a multiple of $\pi$.

10’

To determine

To calculate: The angle ${10}^{°}$ in radians.

Answer to Problem 1MCCP

Solution: $\underset{\_}{\frac{\pi }{18}}$

Explanation of Solution

Given: ${10}^{°}$

Formula used:

$\theta (radians)=\theta (\mathrm{deg}rees)\times \frac{\pi }{180}$

Calculation: To convert degrees in radians, multiply by $\frac{\pi \text{radians}}{180}$.

$\begin{array}{ccc}\hfill {10}^{°}& =& 10\times \frac{\pi }{180}\hfill \\ & =& \frac{\pi }{18}\text{radians}\hfill \end{array}$