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Degrees to Radians converter

Convert ° to rad instantly. Type any value and get the result in radians. 1 ° = 0.0174533 rad.

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Angle›° → rad
From
To
result below ↓
1 °=
0.0174533rad
formula1 ° = 0.0174533 rad

Common degrees → radians

=0.0174533 rad
=0.0349066 rad
=0.0872665 rad
=0.174533 rad
=0.349066 rad
=0.872665 rad
=1.74533 rad
=8.72665 rad
=17.4533 rad

Need a different value? .

Convert the other way
Radians to Degrees

How to convert degrees to radians

To convert degrees to radians, multiply the value by 0.0174533.

Formula
rad = ° × 0.0174533

For example:

  • →5 ° = 0.0872665 rad
  • →100 ° = 1.74533 rad

Quick reference

  • ▸1 ° = 0.0174533 rad
  • ▸1 rad = 57.2958 °
  • ▸Mental math: Multiply degrees by π/180 (≈ 0.01745).

When you need to convert ° to rad

  • ·Geometry and trigonometry homework.
  • ·CAD and 3D modeling — rotation values.
  • ·Navigation and bearings.
  • ·Astronomy — arcminutes and arcseconds.
  • ·Woodworking and construction — miter and bevel angles.

Frequently asked

How many radians are in 1 degree?
One degree equals 0.0174533 radians.
How do I convert ° to rad in my head?
Multiply degrees by π/180 (≈ 0.01745).
What is the formula for degrees to radians?
rad = ° × 0.0174533.
What is the reverse — how many degrees in 1 radian?
One radian equals 57.2958 degrees.

Related conversions

Radians to Degrees
1 rad = 57.2958 °
Degrees to Gradians
1 ° = 1.11111 grad
Degrees to Arcminutes
1 ° = 60 arcmin
Degrees to Arcseconds
1 ° = 3,600 arcsec
Gradians to Radians
1 grad = 0.015708 rad
Arcminutes to Radians
1 arcmin = 0.000290888 rad
Arcseconds to Radians
1 arcsec = 4.8481e-6 rad
Turns to Radians
1 turn = 6.28319 rad
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