Answer:
[tex]\frac{-5}{8}\pi =-112.5[/tex]
Step-by-step explanation:
We know that 1π rad=180°
Hence we can use a proper relation
[tex]\pi = 180\\-5\frac{\pi }{8}=x[/tex]
Solving for x results
[tex]x=\frac{-5}{8}*180=\frac{-5}{2}*45=\frac{-225}{2}=112,5[/tex]
Answer:
The required answer is -112.5°.
Step-by-step explanation:
Consider the provided radian measure.
[tex]\frac{-5\pi}{8}[/tex]
To convert from radians to degrees multiply the provided radian with [tex]\frac{180}{\pi}[/tex].
Consider the provided radian measure and multiply it by [tex]\frac{180}{\pi}[/tex].
[tex]\frac{-5\pi}{8}=\frac{-5\pi}{8}\times \frac{180}{\pi}[/tex]
[tex]\frac{-5\pi}{8}=\frac{-5}{8}\times 180[/tex]
[tex]\frac{-5\pi}{8}=\frac{-5}{2}\times45[/tex]
[tex]\frac{-5\pi}{8}=\frac{-225}{2}[/tex]
or
[tex]\frac{-5\pi}{8}=-112.5^0[/tex]
Hence, the required answer is -112.5°.
