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:

Option C)

$\theta_{\text{degrees}} = \dfrac{\pi}{4}\times \dfrac{180}{\pi}$

Step-by-step explanation:

We are given the following angle measure in radians:

$\theta = \dfrac{\pi}{4}$

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

Formula:

$\theta_{\text{degrees}} = \theta_{\text{radians}}\times \dfrac{180}{\pi}$

Thus, the conversion takes place as:

$\theta_{\text{degrees}} = \dfrac{\pi}{4}\times \dfrac{180}{\pi} = 45^\circ$

Thus, the correct option is

Option C)

$\theta_{\text{degrees}} = \dfrac{\pi}{4}\times \dfrac{180}{\pi}$

Answer 2

Answer: C

Step-by-step explanation: