Converting from degrees to radians

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

Example #1: Convert 30 degrees to radians

30 degrees    = 30 degrees × π radians / 180 degrees

                      = (30 degrees / 1) / π radians / 180 degrees

                      = (30 degrees × π radians) / 1 × 180 degrees

                      = (30 π radians) / 180 

                      = π radians / 6

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

Example #2: Convert -90 degrees to radians

-90 degrees    = -90 degrees × π radians / 180 degrees

                      = (-90 degrees / 1) / π radians / 180 degrees

                      = (-90 degrees × π radians) / 1 × 180 degrees

                      = (-90 π radians) / 180 

                      = -π radians / 2

Example #3: Convert 120 degrees to radians

120 degrees    = 120 degrees × π radians / 180 degrees

                        = (120 degrees / 1) / π radians / 180 degrees

                        = (120 degrees × π radians) / 1 × 180 degrees

                        = (120 π radians) / 180 

                        = 2π radians / 3

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