Angle Calculator
Convert angles between degrees, radians, and gradians. Find complementary and supplementary angles, plus sine, cosine, and tangent values.
Inputs
°
Results
Degrees
45°
Radians0.785398
Gradians50
Complementary (90° - θ)45°
Supplementary (180° - θ)135°
sin(θ)0.707107
cos(θ)0.707107
tan(θ)1
How to Use This Calculator
- Enter an angle in degrees (from -360 to 360) in the Angle field; the calculator converts it to radians (rad = deg × π/180) and gradians (grad = deg × 10/9).
- Complementary angle = 90° − θ; Supplementary angle = 180° − θ, both always shown alongside the conversions.
- sin(θ), cos(θ), and tan(θ) are computed at the entered angle.
- Tan is undefined at angles like 90° and 270°; the calculator flags these cases rather than showing a numeric value.
- Use the Slope Calculator to convert a rise/run ratio into the equivalent angle of inclination.
How the result changes with Angle
| Angle | Degrees |
|---|---|
| -288 | -288° |
| -108 | -108° |
| 108 | 108° |
| 288 | 288° |
What each input means
- Angle
- Angle in degrees.
How this is calculated
Worked example, using the default values
- Identify Input ParametersAngle = 45 = 1 input(s) provided
- Calculate DegreesDegrees = angle45 = 45
- Calculate RadiansRadians0.785398 = 0.785398
- Calculate GradiansGradians50 = 50
Engine last updated .
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