Angle Converter

Convert angle units including degrees, radians, gradians, turns, revolutions, arcminutes, arcseconds, mils, quadrants, sextants, and more.

Convert Angle

1 degree = 0.0174533 radians
Your converted angle result will appear here.

Common angle conversions

Degrees to radians:
1° = 0.0174533 rad

Radians to degrees:
1 rad = 57.2958°

Turns to degrees:
1 turn = 360°

Degrees to arcseconds:
1° = 3,600″

Where angle conversions are used

Angle conversions are useful for structural layout, roof pitch references, surveying bearings, machine setup, CNC work, trigonometry, radians in formulas, slope direction, mechanical rotation, optics, and navigation.

Use this converter when comparing degree-based, radian-based, survey, military, navigation, and precision angle units.

What your angle result means

Your result shows the entered angle converted from the starting unit into the selected ending unit. The calculator also shows the conversion rate used so you can verify the calculation.

For engineering, construction, surveying, and geometry work, make sure the angle unit matches your drawing, calculator setting, formula, instrument reading, machine setup, or calculation sheet.

Angle converter tips

Frequently asked questions

What is an angle?

An angle measures the amount of rotation between two lines, rays, directions, or positions.

What is the SI unit of angle?

The SI-derived unit commonly used for plane angle is the radian, abbreviated as rad.

How many radians are in one degree?

One degree equals approximately 0.0174533 radians.

How many degrees are in one full turn?

One full turn equals 360 degrees.

Can I convert negative angle values?

Yes. This converter allows negative angle values because direction and rotation can be positive or negative.