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 t…

Question

asked Oct 12, 2021 211k views

2 Answers

Rivy · Answer 1 · 2021-10-18T01:19:26+0000

Answer:

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)

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