Question

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

Answer 1

The required answer is -112.5°.

Explanation:

Consider the provided radian measure.

`(-5\pi)/(8)`

To convert from radians to degrees multiply the provided radian with
`(180)/(\pi)`.

Consider the provided radian measure and multiply it by
`(180)/(\pi)`.

`(-5\pi)/(8)=(-5\pi)/(8)* (180)/(\pi)`

`(-5\pi)/(8)=(-5)/(8)* 180`

`(-5\pi)/(8)=(-5)/(2)*45`

`(-5\pi)/(8)=(-225)/(2)`

or

`(-5\pi)/(8)=-112.5^0`

Hence, the required answer is -112.5°.

Answer 2

`(-5)/(8)\pi  =-112.5`

Explanation:

We know that 1π rad=180°

Hence we can use a proper relation

`\pi = 180\\-5(\pi )/(8)=x`

Solving for x results

`x=(-5)/(8)*180=(-5)/(2)*45=(-225)/(2)=112,5`