Angle Converter

Convert angle units including degrees, radians, gradians, turns, revolutions, arcminutes, arcseconds, and mils for construction layout, framing, slope, pitch, surveying, and geometry work.

Convert Angle

45 degrees = 0.785398 radians
Your angle result will appear here.

Common angle conversions

Degrees to radians:
radians = degrees × π ÷ 180

Radians to degrees:
degrees = radians × 180 ÷ π

Degrees to turns:
turns = degrees ÷ 360

Degrees to gradians:
gradians = degrees × 10 ÷ 9

Where angle conversions are used

Angle conversions are useful for framing, roof pitch, stair layout, ramps, surveying, grade work, pipe slope, drainage, trigonometry, mechanical layout, and construction drawings.

Use this converter when switching between degrees, radians, turns, gradians, arcminutes, arcseconds, and mil-style angle references.

What your angle result means

Your result shows the entered angle converted from the starting unit into the selected ending unit. The converter also shows common reference values such as degrees, radians, gradians, and turns.

This converter changes angle units only. For roof pitch, slope, ramp grade, or drainage calculations, use the related pitch or slope converters when you need rise-over-run measurements.

Angle converter tips

Frequently asked questions

How many radians are in 180 degrees?

180 degrees equals π radians, which is about 3.14159 radians.

How do I convert degrees to radians?

Multiply degrees by π, then divide by 180. For example, 45 degrees equals about 0.785398 radians.

How many degrees are in a full turn?

There are 360 degrees in 1 full turn or revolution.

How many arcminutes are in one degree?

There are 60 arcminutes in 1 degree and 3,600 arcseconds in 1 degree.

Is an angle converter the same as a slope converter?

No. An angle converter changes angle units. A slope converter changes rise-over-run, percent grade, pitch, and angle relationships.