Degrees and Radians Converter

Convert angles between degrees and radians. Degrees convert exactly to multiples of π.

For radians as a multiple of π, enter 1/6 for π/6

Result

Enter values and press Calculate to see the result.

Formula

radians=degrees×π180\text{radians} = \text{degrees} \times \frac{\pi}{180}

A full turn is 360° = 2π radians, so 180° = π.

How to use this calculator

  1. Choose the direction and enter the angle.
  2. To convert π/6 to degrees, choose “as a multiple of π” and enter 1/6.

Worked example

Convert 30° to radians

30 × π/180 = π/6 ≈ 0.523599.

Frequently asked questions

How many degrees is one radian?

About 57.2958°: one radian cuts off an arc as long as the radius.

Why are radians used?

They make calculus simple — the derivative of sin x is cos x only in radians.

Learn more