Calculate Equal Angle after Rotation

Calculator for an angle after full rotations, so that the new and the old angle superpose. If to an angle 360° or 2π, or multiples of those, are added or subtracted, the resulting angle is equal to the original one. Thereby, a full rotation is done. Please choose, if the angles are specified in degrees, as radiant or as multiples of π. Then enter the angle and the number of rotations. The number of rotations is a positive or negative integer. The according equal angle will be calculated, also the factor, which is the ratio between new and original angle.

Example: if an angle with 127 degrees is fully rotated 3 times, the resulting equal angle has 1207 degrees, 9.5039 times as much as before.

Angle:
Rotations:

Equal angle:
Factor: