Answer:
The correct option is B. 45°
Step-by-step explanation:
The angle in radians is given to be : pi over 4
[tex]\implies Angle =\frac{\pi}{4}[/tex]
Now, one complete angle has a measure of 180 degrees
So, to convert an angle from radians measure into degree measure, we use this approach :
[tex]\text{Angle = }\frac{\pi}{4}\\\\\implies \text{Angle in degrees = }\frac{\pi}{4}\times \frac{180}{\pi}\\\\\implies \text{Angle in degrees = }\frac{180}{4}\\\\\implies \text{Angle in degrees = }45^o[/tex]
Therefore, The angle measure of the given angle in degrees = 45°
Hence, The correct option is B. 45°
The equivalent of pi over 4 radians in degrees is 45 degrees.
Since one angle is 180 degree in order to determine the equivalent of pi we need to divide 180 degree by 4 radian.
Hence :
Equivalent of pi =π/4×180°/π
Equivalent of pi =180°/4
Equivalent of pi=45°
Therefore the equivalent of pi over 4 radians in degrees is 45 degrees.
Learn more about equivalent of pi here:https://brainly.com/question/366597
