Question

Convert the radian measure to degrees. (Round to the nearest hundredth when necessary): −5π8

Answer 1

Answer:

The required answer is -112.5°.

Step-by-step explanation:

Consider the provided radian measure.

$\frac{-5\pi}{8}$

To convert from radians to degrees multiply the provided radian with $\frac{180}{\pi}$.

Consider the provided radian measure and multiply it by $\frac{180}{\pi}$.

$\frac{-5\pi}{8}=\frac{-5\pi}{8}\times \frac{180}{\pi}$

$\frac{-5\pi}{8}=\frac{-5}{8}\times 180$

$\frac{-5\pi}{8}=\frac{-5}{2}\times45$

$\frac{-5\pi}{8}=\frac{-225}{2}$

or

$\frac{-5\pi}{8}=-112.5^0$

Hence, the required answer is -112.5°.

Answer 2

Answer:

$\frac{-5}{8}\pi =-112.5$

Step-by-step explanation:

We know that 1π  rad=180°

Hence we can use a proper relation

$\pi = 180\\-5\frac{\pi }{8}=x$

Solving for x results

$x=\frac{-5}{8}*180=\frac{-5}{2}*45=\frac{-225}{2}=112,5$