# How to Convert Radians to Degrees

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Learn the equation to convert radians to degrees: R * (180 / ?) = D R stands for radians, and D stands for degrees.

Plug the measurement of your angle in radians into the equation above in place of the R. For example, you are told to convert the measurement of an angle from 2 radians to a measurement in degrees. Begin by replacing the R in the above equation with 2, which leaves you with this: 2 * (180 / ?) = D

Do the division inside of the parentheses, according to the order of operations. In the example, simplify the equation into the following: 2 * 57.296 = D Round the answer you get from doing the division inside the parentheses to the nearest thousandth.

Multiply out the rest of the equation to get the final answer. To finish the conversion example, multiply out the rest of the equation as follows: 2 * 57.296 = 114.592 This is rounded to the nearest thousandth.

Attach units to your final answer. It is so important to put your answer in terms of units whenever possible, especially when you are doing a conversion.
For the example problem, the final answer is that an angle that measures 2 radians measures 114.592 degrees.

#### Tips

• If you need to convert from degrees to radians, then you can simply plug in your value for the D in the equation given above and then solve for R, or you can use the equation R = D * (? / 180), where D is still degrees and R is still radians. Most calculators will do this conversion for you, but you should always know how to do what your calculator will do for you on your own.

#### Warnings

• Don't forget to put your answer in terms of units; most math teachers will mark you down for leaving the units off your final answer.