Degrees to radians
This page is about how to convert degrees to radians. For converting degrees to radians, the following formula can be used: Degrees to radians
Proof
As you will probably know already, a whole revolution of a circle equals 360°. In radians, the circumference of a circle is equal to 2π. Convert degrees to radians
Degrees in radians
Degrees (°) 0 15 30 45 90 180 270 360
Radians (rad) 0 π/12 π/6 π/4 π/2 π 3/2 π
Sine, cosine and tangent
If you use the trigonometric functions on a calculator it is possible to enter the angles in degrees. Mind that you always have to make sure you changed the angle to degrees in the set up of the calculator.
Exercises
  1. A pendulum rotated 72°. How many radians is that?
  2. The wheel of a car turned 129600°. Calculate the rotation in radians.
  3. The slope of a line is (1/9)π rad. Convert it into degrees by using the formula given on this page.
Solutions
  1. 72° is equal to 0.4π rad
  2. 129600° equals 360 revolutions. 360*2π = 720π rad.
  3. (1/9)π = 20°

Now you should be able to convert degrees to radians for every angle.