Converting from radians to degrees

To convert from radians to degrees, just multiply by (180 degrees) / (π radians).

Example #1: Convert (π/3) radians to degrees

(π / 3) radians  = (π radians / 3) × 180 degrees / π radians

                      = (π radians × 180 degrees) / × π radians

                      = 180 degrees / 3

                      = 60 degrees

Notice that since π radians is on top and at the bottom, we can cancel it.

Example #2: Convert (π/2) radians to degrees

(π / 2) radians  = (π radians / 2) × 180 degrees / π radians

                      = (π radians × 180 degrees) / 2 × π radians

                      = 180 degrees / 2

                      = 90 degrees

Example #3: Convert (-π) radians to degrees

First, notice that (-π) radians = (-π / 1) radians

(-π / 1) radians  = (-π radians / 1) × 180 degrees / π radians

                          = (-π radians × 180 degrees) / 1 × π radians

                          = -180 degrees / 1

                          = -180 degrees

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