Question

Which expression converts pi/4 radian to degrees?

Answer 1

2π radians is equal to 360° degrees

2π rad/360°

π rad/180°

Now if you need to convert radians to degrees you would use the ratio 180°/π.

In this case:

(π/4)(180°/π)=45°

Answer 2

Answer

$converts\ \frac{\pi} {4}\ radian\ to\ degrees.$

To prove

The relationship between the radian and the degree is given by .

 $1radian = \frac{180^{\circ}}{\pi}$

Now

$converts\ \frac{\pi} {4}\ radian\ to\ degrees.$

Put value in the relationship given above .

$=\frac{\pi\times 180^{\circ}} {4\times\pi}$

Solving the above

$= \frac{180^{\circ}}{4}$

= 45°