HesapHanem

Angle Converter

Convert between angle units.

Result

57.30
1.00
63.66

How it is calculated

Enter an angle and choose its unit: degrees, radians or gradians. The engine converts it to degrees first (deg = rad × 180 ÷ π, or deg = grad × 0.9), then shows all three: rad = deg × π ÷ 180 and grad = deg ÷ 0.9. A full circle is 360 degrees, 2π (about 6.28) radians or 400 gradians.

All three results are rounded to two decimals, which matters for radians: a value such as 0.7854 is shown as 0.79. If you need radians for further calculation, use π-based fractions instead of the rounded display. Negative angles and values beyond a full turn are converted as given, not wrapped to 0–360. An unrecognised unit gives no result.

Worked example

Convert 1 radian. Degrees: 1 × 180 ÷ π = 57.30. Radians stay at 1.00. Gradians: 57.2958 ÷ 0.9 = 63.66. So one radian, the angle whose arc equals the radius, is a little under 60 degrees. A right angle for comparison is 90 degrees, about 1.57 radians or 100 gradians.

Try this example →

Common mistakes

  • Giving degrees to a function that expects radians. Most programming languages' sin and cos need radians; convert first.
  • Typing π as 3.14 in another tool and then comparing to the 2-decimal radian shown here. The display is rounded.
  • Leaving the unit on degrees when the number is in radians; 1 would then be read as 1 degree.
  • Confusing gradians (400 per circle) with degrees (360). A right angle is 100 grad, not 90.
  • Expecting angles to wrap: 450 degrees is shown as 450, not 90.

About this calculator

This tool converts angle measurements between degrees (the 360° circle used in everyday geometry), radians (the unit based on π used throughout calculus, physics and programming), and gradians (the 400-unit system used in some surveying and civil engineering software).

Programmers converting angles for trigonometric functions (which in most languages expect radians, not degrees), surveyors working with equipment calibrated in gradians, and students moving between a math class that uses radians and a physics class that reports results in degrees all use it to avoid an easy-to-make unit mismatch that throws off an entire calculation.

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Comments (1)

  • Editorial team

    If you are converting for code, do not paste the displayed radian value into it. The tool shows two decimals, so 90 degrees reads 1.57 while the exact figure is π/2 and the rounding error would carry into every later calculation. Use the language's own constant or convert inside the program. Which language or software are you moving angles into?

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