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Angle converter

Convert angles between degrees, radians and other units. A full turn is 360° or 2π radians, so 1 radian is about 57.2958°.

Result

1.5708rad

1 ° = 0.0174533 rad

Same amount, two scales

90 °

1.571 rad

Both bars show the same amount: 90 ° on top, 1.571 rad below.

Quick challenge

Streak 0Best 0

Guess the conversion before you calculate it. How many can you get in a row?

How it works

Angles are converted through the degree. Radians are the natural unit in mathematics and programming (sin, cos), gradians (gon) divide a right angle into 100 and are used in surveying, and arcminutes and arcseconds are used in astronomy and maps.

All units compared

All units compared
UnitSymbolValue in degrees
degree°1 °
radianrad57.29577951 °
milliradianmrad0.05729577951 °
gradiangon0.9 °
arcminute′0.01666666667 °
arcsecond″0.0002777777778 °
turntr360 °

Frequently asked questions

How do I convert degrees to radians?

Multiply by π/180. For example, 90° × π/180 = π/2 ≈ 1.5708 rad.

How many degrees is one radian?

180/π, about 57.2958 degrees.

How many radians are in 1 degree?

1 degree = 0.0174533 radians. The other way round, 1 radian = 57.2958 degrees.

How many degrees are in 1 radian?

1 radian = 57.2958 degrees. The other way round, 1 degree = 0.0174533 radians.

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