Angle Converter

1. Type any value. Enter a number in any angle field. All 6 units update simultaneously with no button to press.
2. Degrees to radians. Programming languages like Python, JavaScript, and C++ use radians in their trigonometric functions (sin, cos, tan). If your angle is in degrees, type it in the Degree field and read the radian equivalent.
3. Gradians. Used in surveying and some European engineering fields. A full circle is 400 gradians, so a right angle is exactly 100 gradians.
4. Arcminutes and arcseconds. Used in astronomy, navigation (latitude and longitude), and optics. 1 degree = 60 arcminutes = 3,600 arcseconds. GPS coordinates can be expressed in degrees-minutes-seconds (DMS) format.

Example: a 45-degree angle. Type 45 in the Degree field to see: 0.785398 radians, 50 gradians, 2,700 arcminutes, 162,000 arcseconds, 0.125 turns.

All conversions use radians as the base unit:

Value in radians = Input × toRadians factor
Result in target unit = Value in radians ÷ toRadians factor

Key conversions: degrees to radians: multiply by π/180. Radians to degrees: multiply by 180/π. A right angle (90°) = π/2 radians ≈ 1.5708 rad. A straight angle (180°) = π radians. A full rotation (360°) = 2π radians = 1 turn = 400 gradians.