Question

From radians to degree

Find the degree measure of the angle 3 radians.

Short answer

Angle in degrees is$\mathbf{171}{\mathbf{.98}}^{\mathbf{\circ }}$

Step-by-step solution

Step 1. Given information.

An angle of and we have to convert it in degrees.

Step 2. Concept used.

We multiply a radian by$\frac{180}{\pi }$ to convert the angle from radian to degrees.

The answer will be in degrees.

Step 3. Calculation.

Here is the calculation-

$\begin{array}{l}1=\frac{{180}^{\circ }}{\pi }\\ 3=\frac{{180}^{\circ }}{\pi }\times 3\\ \Rightarrow {171.98}^{\circ }\end{array}$