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Degree Converters

Convert between degrees, radians, gradians and turns for angular measurements.

What this tool does

Convert between degrees, radians, gradians and turns for angular measurements. Type an amount in degrees, choose the units, and the tool converts it to radians. It offers 4 angle units and also shows the same amount in the others.

Inputs

  • Value: A number.
  • From: Choose one: Degree, Radian, Gradian (gon), Turn (revolution). Starts as Degree.
  • To: Choose one of the same 4 units as "From". Starts as Radian.

How to use

  1. Enter the amount you want to convert.
  2. Choose the unit to convert from and the unit to convert to.
  3. Read the result: the converted amount and the same amount in the other units. It appears once every required field has a valid value.

Worked examples

Conversions from degrees to radians:

  • 1° ≈ 0.0174533 rad
  • 5° ≈ 0.0872665 rad
  • 10° ≈ 0.174533 rad
  • 50° ≈ 0.872665 rad
  • 100° ≈ 1.745329 rad

Multiply the number of degrees by about 0.0174533 to get radians. The factor follows from exact definitions. It has more digits than fit here, so it is shown rounded.

Sources: Degree: SI Brochure, 9th edition (2019), Table 8. Radian: SI Brochure, 9th edition (2019).

Limitations

  • Converts the size of an angle between units only. It does not work out angles from side lengths or slopes.
  • Turn and revolution are the same unit here: one full circle.

FAQs

Q: How do I convert degrees to radians?
A: Enter the value, choose degree as the From unit and radian as the To unit. The result appears along with the same angle in the other listed units. To go the other way, swap the two units.
Q: How many degrees are in one radian?
A: One radian is about 57.2958 degrees. A half turn, 180 degrees, is pi radians, about 3.14159.
Q: Can I convert the other way?
A: Yes. Swap the From and To units to convert radians to degrees.

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