Question

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

StartFraction pi Over 4 EndFraction times 180 degrees
StartFraction pi Over 4 EndFraction times StartFraction 180 degrees Over pi EndFraction
StartFraction pi Over 4 EndFraction times StartFraction Pi Over 180 degrees EndFraction
StartFraction pi Over 4 EndFraction times pi

Answer 1

StartFraction pi Over 4 EndFraction times StartFraction 180 degrees Over pi EndFraction.

Explanation:

We know the relation between radian and degree is that, π radians = 180°.

Then we have to calculate the degree that is equivalent to
`(\pi )/(4)` radians.

Now, using the unitary method, we can calculate the degree value.

Therefore,
`(\pi )/(4)` radians is equivalent to
`(\pi )/(4) * (180)/(\pi ) = (180)/(4) = 45 ^(\circ)`.

So, it is StartFraction pi Over 4 EndFraction times StartFraction 180 degrees Over pi EndFraction. (Answer)