Jack M.

asked • 12/03/19# Convert The Angle of Measure from Radians to Degrees

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

θ=4pi/7

## 2 Answers By Expert Tutors

Al P. answered • 12/03/19

Precalculus tutoring

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.

Jack M.

When I plug in the numbers to the first equation I seem to be getting a large number. I get 1015.15931, Do you know what I'm doing wrong? I think the answer is supposed to be smaller.12/03/19

Al P.

I'll use a slightly different angle. Say theta = 4pi/13. theta in degrees = (4pi/13) * (360) / (2pi) = 2*360/13 = 55.38 degrees Your answer should be a little less than twice mine (in the 102 degree range).12/03/19

Mark H. answered • 12/03/19

Tutoring in Math and Science at all levels

Use the formula: 180 degrees = pi radians

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Mark H.

4pi/7 * 180/pi = 720/712/03/19