Question

Which expression converts StartFraction pi Over 4 EndFraction radians to degrees?

a.StartFraction pi Over 4 EndFraction times 180 degrees
b.StartFraction pi Over 4 EndFraction times
c.StartFraction 180 degrees Over pi EndFraction StartFraction pi Over 4 EndFraction times
d.StartFraction Pi Over 180 degrees EndFraction StartFraction pi Over 4 EndFraction times pi

Answer 1

Answer: C

Explanation:

Answer 2

Option C)

`\theta_{\text{degrees}} = (\pi)/(4)* (180)/(\pi)`

Explanation:

We are given the following angle measure in radians:

`\theta = (\pi)/(4)`

We have to convert the radian measure of angle into degree measure.

Formula:

`\theta_{\text{degrees}} = \theta_{\text{radians}}* (180)/(\pi)`

Thus, the conversion takes place as:

`\theta_{\text{degrees}} = (\pi)/(4)* (180)/(\pi) = 45^\circ`

Thus, the correct option is

Option C)

`\theta_{\text{degrees}} = (\pi)/(4)* (180)/(\pi)`