Chapter 4, Problem 1CT

To determine

To solve:to convert the angle into degree measure.

Answer to Problem 1CT

The mentioned angle in degree is ${225}^0$ .

Explanation of Solution

Given information:

The mentioned angle in radian form is $\frac{5\pi }{4}$ radians.

Formula used:

Calculate $\frac{\pi }{180}$ in the mentioned angle.

Calculation:

Consider the statement that mentioned angle in radian form is $\frac{5\pi }{4}$ radians.

Recall that from radian form to degree form of conversion of angle, we use $\frac{\pi }{180}$ form.

Therefore $\frac{5\pi }{4}$ radians $=\frac{5*180}{4}=5*45={225}^0$ .

So, the mentioned angle in degree measure is ${225}^0$ .