What is (-5pi)/12  radians in degrees?

Jan 27, 2016

Convert by multiplying the expression by $\frac{180}{\pi}$

Explanation:

$\frac{5 \pi}{12} \times \left(\frac{180}{\pi}\right)$

We can simplify the fractions before multiplying: the $\pi$'s eliminate themselves and the 180 is divided by 12, which gives 15.

= 15 $\times$ 5

= 75 degrees

The rule is the opposite when converting from degrees to radians: you multiply by $\frac{\pi}{180}$.

Practice exercises:

1. Convert to degrees. Round to 2 decimals if necessary.

a) $\frac{5 \pi}{4}$ radians

b) $\frac{2 \pi}{7}$ radians