Question

What is the equivalent of pi over 4 radians in degrees? 25 degrees 45 degrees 90 degrees 120 degrees

Answer 1

Answer:

The correct option is B. 45°

Step-by-step explanation:

The angle in radians is given to be : pi over 4

$\implies Angle =\frac{\pi}{4}$

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 :

$\text{Angle = }\frac{\pi}{4}\\\\\implies \text{Angle in degrees = }\frac{\pi}{4}\times \frac{180}{\pi}\\\\\implies \text{Angle in degrees = }\frac{180}{4}\\\\\implies \text{Angle in degrees = }45^o$

Therefore, The angle measure of the given angle in degrees = 45°

Hence, The correct option is B. 45°

Answer 2

The equivalent of pi over 4 radians in degrees is 45 degrees.

Equivalent of pi

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.

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