Angle Converter

Convert an angle between degrees, radians, gradians, and revolutions. Enter the value and its unit.

Radians
radians
Equivalent angle.

Usage Tip

To convert degrees to radians, multiply by pi and divide by 180; to go back, multiply by 180 and divide by pi.

THE MATH
A full turn = 360 degrees = 2π radians = 400 gradians = 1 revolution
Convert through degrees as the common base
Degrees and radians are the two most common angle units; radians are standard in higher math because they simplify formulas.
Gradians (400 per turn) appear in some surveying.
Pick the input unit; all four equivalents are shown.
Radians use pi, so common angles come out as fractions of pi.
One radian is about 57.3 degrees.
Scroll to Top

The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.