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…

Question

asked Jan 1, 2021 69.6k views

1 Answer

Samina · Answer 1 · 2021-01-07T17:18:03+0000

Answer:

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)