ToolBark
Converters

Angle Converter

Convert degrees, radians, gradians, turns and more instantly

Common Angles

Converted Values

°
DegreesStandard unit, 360° = full circle
input
90
rad
RadiansSI unit, 2π rad = full circle
1.570796327
grad
GradiansMetric unit, 400 grad = full circle
100
tr
Turns1 turn = full circle
0.25
Arcminutes1° = 60 arcminutes
5400
Arcseconds1° = 3600 arcseconds
324000
mrad
Milliradians1 rad = 1000 mrad
1570.796327

Quick Reference

  • Full circle: 360° = 2π rad ≈ 6.2832 rad = 400 grad = 1 turn
  • Right angle: 90° = π/2 rad ≈ 1.5708 rad = 100 grad = 0.25 turn
  • Straight angle: 180° = π rad ≈ 3.1416 rad = 200 grad = 0.5 turn
  • 1 radian ≈ 57.2958° = 63.6620 grad
  • 1° = 60 arcminutes = 3,600 arcseconds = π/180 rad
About

Need to convert angles fast? This free angle converter handles degrees, radians, gradians, turns, arcminutes, arcseconds, and milliradians all at once. Enter any value, pick your source unit, and see every equivalent instantly — no formula lookup needed. Perfect for students, engineers, programmers, and anyone working with geometry, trigonometry, or navigation.

FAQ
How do I convert degrees to radians?+

Multiply the degree value by π/180 (approximately 0.017453). For example, 90° × π/180 = π/2 ≈ 1.5708 radians. This converter does the math automatically for you.

What is a gradian?+

A gradian (also called a gon) is a unit where a full circle equals 400 gradians. It was designed to make right angles a round 100 grad, which simplifies some surveying calculations. 1 gradian = 0.9 degrees.

What is the difference between a turn and a revolution?+

They are the same thing — one turn (or revolution) equals one full 360° rotation. In radians that is 2π, and in gradians it is 400 grad. Turns are convenient in contexts like rotational mechanics and animation.

What are arcminutes and arcseconds used for?+

Arcminutes (1/60 of a degree) and arcseconds (1/3600 of a degree) are used in astronomy, geographic coordinates, and precision optics where very small angular measurements are needed. For example, GPS coordinates are often expressed in degrees, arcminutes, and arcseconds.

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