Converters

Degrees to Radians Converter

Convert degrees to radians instantly. 1 degree = 0.0174533 radians.

0.0174533
1 ° = 0.0174533 rad

Common conversions

From 1 degrees
  • Radians (rad)0.0174533
  • Gradians (gon)1.11111
  • Turns (turn)0.00277778
  • Arcminutes ()60
  • Arcseconds ()3600
Method

How it works

Radians = Degrees × 0.01745329252
Multiply the number of degrees by 0.01745329252 to get radians. To go back, multiply by 57.29577951. Examples: 1 ° = 0.0174533 rad · 5 ° = 0.0872665 rad · 10 ° = 0.174533 rad · 100 ° = 1.74533 rad.
FAQ

Frequently asked

How many radians are in a degree?

1 degree = 0.0174533 radians.

What is the formula to convert degrees to radians?

Radians = Degrees × 0.01745329252

Is this conversion exact?

The conversion factor between degrees and radians is defined by international standards and is exact to at least 10 significant figures here.

Can I convert in the opposite direction?

Yes — use our Radians to Degrees converter, or multiply your value by 57.29577951.

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