Chapter 12.2, Problem 30PPS

To determine

Find the degree measure or radian measure as per the given degree or radian.

Answer to Problem 30PPS

The degree measure is $-{420}^{\circ }$ .

Explanation of Solution

Given: It is given in the question that the radian is $-\frac{7\pi }{3}$ .

Concept Used:

In this, use the concept of multiplying by $\frac{180}{\pi }$ to convert radian to degree and when convert to degree into radian multiply by $\frac{\pi }{180}$ .

Calculation: Here, the radian will be $-\frac{7\pi }{3}$ .

Now, multiplying it by $\frac{180}{\pi }$ ,

  $-\frac{7\pi }{3}=-\frac{7\pi }{3}\times \frac{180}{\pi }=60\times -7=-{420}^{\circ }$

Conclusion:

The degree measure is $-{420}^{\circ }$ .