Convert The Angle of Measure from Radians to Degrees

Question

Convert the angle measure from radians to degrees. (Enter your answer in exact form.)

θ=4pi/7

Answer 1

There are 2pi radians in a full circle (360 degrees), so you can use these conversions:

if r is the number of radians, and d is the angle in degrees:

d = 360*r / (2pi) <<<< plug in your numbers here

To go from degrees to radians:

r = (2pi)*d / 360

If you wish, these can be simplified ever so slightly by dividing top and bottom by 2.

Answer 2

Use the formula: 180 degrees = pi radians