Question

Convert the angle 5 radians to degrees.

Answer 1

Consider the conversion,

$1\text{ rad}=\frac{180}{\pi}\text{ deg}$

Then the equivalent degree measure of 5 radians is calculated as,

$\begin{gathered} \frac{5\pi}{3}\text{ rad} \\ =\frac{5\pi}{3}\times1\text{ rad} \\ =\frac{5\pi}{3}\times\frac{180}{\pi}\text{ deg} \\ =300\text{ deg} \end{gathered}$

Thus, the given angle measure is equivalent to 300 degrees.