Converters
Angle Converter
Convert degrees, radians, and gradians.
Free to use — no sign-up or login.
Converted
Amortization schedule
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π radians equal 180 degrees, so 180 degrees displays as 3.14159 radians. One gradian is 0.9 degrees, and 200 gradians equal 180 degrees.
Interior angles of a polygon are on the polygon angles calculator. This page converts a single plane angle.
Degrees and radians
Multiply degrees by π/180 to get radians. Multiply radians by 180/π to get degrees. A full turn is 360 degrees or 2π radians.
Gradians
A right angle is 100 gradians, and a full turn is 400 gradians. Degrees to gradians multiplies by 10/9. Gradians to degrees multiplies by 9/10.
Worked example: 180 degrees
Degrees to radians, value 180, displays as 3.14159 rad. Degrees to gradians, value 180, displays as 200 grad.
\[ 180^{\circ}=3.14159\,\mathrm{rad}=200\,\mathrm{grad} \]
Frequently asked questions
What is 180 degrees in radians?
3.14159 rad at six significant digits.
What is 180 degrees in gradians?
200 gradians.
How many degrees is a radian?
180/π, about 57.2958 degrees.
Is a gradian a degree?
No. A gradian is 0.9 degrees.
Does this convert latitude?
No. It converts a plane angle. It does not treat an angle as a map coordinate.
References
Assumptions and limitations
Plane angle only, not latitude or longitude. Six significant digits, so π displays as 3.14159 rather than a longer expansion.