Chapter 6, Problem 1CT

In Problem $1-3$, convert each angle in degrees to radius. Express your answer as a multiple of $\pi$.

${260}^{\circ }$

To determine

The angle ${260}^{\circ }$ in radians. Express the answer in terms of $\pi$.

Answer to Problem 1CT

Solution:

${260}^{\circ }=\frac{13\pi }{9}\text{radians}$

Explanation of Solution

Given information:

The angle, ${260}^{\circ }$

Explanation:

Let, an angle ${260}^{\circ }$.

Now, convert the angle ${260}^{\circ }$ to radians.

Since, $1\text{degree}\text{=}\frac{\pi }{180}\text{radian}$

Then,

${260}^{\circ }=260\cdot 1\text{degree}$

$=260\cdot \frac{\pi }{180}\text{radian}$

$=\frac{13\pi }{9}\text{radians}$

Therefore, ${260}^{\circ }=\frac{13\pi }{9}\text{radians}$.