Angle Converter
Convert angle units.
모든 각도 단위 변환
Overview
Convert between degrees, radians, and gradians. Essential for mathematics, physics, engineering, navigation, and programming where angle unit conversion is needed.
Formula
1 rad = 180/π ≈ 57.2958° 1° = π/180 ≈ 0.017453 rad 360° = 2π rad 90° = π/2 rad 1 grad = 0.9° = π/200 rad 400 grad = 360° 1° = 60′ (arcminutes) = 3600″ (arcseconds)
How to Use
- 1Enter the angle value to convert.
- 2Select the source unit (degree, radian, gradian).
- 3Select the target unit.
- 4View the converted result.
Tips
- ✔Most programming languages expect trigonometric functions (sin, cos, tan) to receive radians as input.
- ✔A full circle is 360° = 2π rad = 400 grad.
- ✔Arcminutes (′) and time minutes are different units -- do not confuse them.
- ✔Converting between DMS (degrees-minutes-seconds) and DD (decimal degrees) for GPS coordinates requires care.
FAQ
Q. What is a radian?
A radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius. A full circle = 2π rad ≈ 6.2832 rad. It is the most natural angle unit in mathematics and physics.
Q. Why do programming languages use radians for trigonometry?
Radians simplify many mathematical formulas (e.g., derivatives of sin/cos). Most languages and math libraries default to radians. Convert degrees to radians by multiplying by π/180.
Q. Where are gradians used?
Gradians (also called gons) are used primarily in surveying and civil engineering. A right angle is exactly 100 grad, making certain calculations more convenient.
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