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Degrees to radians and radians to degrees converter

Convert an angle from degrees to radians or from radians to degrees. When converting to radians you'll also see the result as a multiple of π, as textbooks write it.

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Radians

3.141592654 rad

As a multiple of π

1π rad

A full turn is 360° or 2π rad, so the conversion is a simple proportion:

  • rad = degrees × π ÷ 180
  • degrees = rad × 180 ÷ π
  • Examples: 180° = π rad ≈ 3.1416 rad; 90° = 0.5π rad; 1 rad ≈ 57.2958°

Use cases

  • Converting angles to radians for physics formulas or code (almost every language's trig functions use radians).
  • Reading a radian result in degrees.
  • Studying trigonometry with angles written in terms of π.

How it works

  1. 1

    Type the angle

    Decimals and negatives are accepted.

  2. 2

    Pick the direction

    Degrees → radians or radians → degrees; the result updates when you switch.

Technical details

  • The multiple of π is exact (degrees ÷ 180); the decimal radian value uses π at double floating-point precision.
  • Angles over 360° or negative are converted as is, not reduced to one turn.
  • Result with up to 10 significant digits.

Frequently asked questions

How many degrees is one radian?

About 57.2958°. It's the angle whose arc is as long as the circle's radius.

How do I convert 45° to radians?

45 × π ÷ 180 = π/4 ≈ 0.7854 rad. The tool shows "0.25π rad", which is the same.

Related tools

← Calculators