Angle Converter

About This Tool

The Angle Converter instantly converts between degrees, radians, gradians, milliradians, turns, arcminutes, and arcseconds. Enter a value and select the source unit — all equivalent values appear at once.

Angle units are used across mathematics, navigation, engineering, astronomy, and computer graphics. This tool covers both metric and imperial angle systems.

How to Use

1. Enter a numeric value in the Value field.
2. Select the source unit from the From Unit dropdown.
3. Read all equivalent values instantly in the results grid.
4. Change the value or unit at any time — results update in real time.

Reference

• 1 turn = 360° = 2π rad = 400 grad
• π rad = 180° ≈ 3.14159 rad
• 1° = 60′ (arcminutes) = 3,600″ (arcseconds)
• 1 gradian = 0.9° (400 grad = full circle)

Use Cases

Mathematicians convert radians to degrees for trigonometric calculations. Surveyors use gradians (gon) for geodetic measurements. Astronomers convert arcseconds for star position accuracy. Game developers convert degrees to radians for rotation math in code.

FAQ

• What is a radian? — A radian is the angle subtended by an arc whose length equals the radius. One full circle = 2π radians ≈ 6.2832 rad.
• When are gradians used? — Gradians (gon) divide a full circle into 400 parts. They are used in surveying and geodesy, especially in Europe, because right angles are exactly 100 gon.
• What are arcminutes and arcseconds? — Arcminutes (′) and arcseconds (″) subdivide degrees: 1° = 60′ = 3,600″. They are used in astronomy, navigation, and geographic coordinates.