Angle Unit Converter

Convert any angle between degrees, radians, gradians, and full turns.

Degrees-
Radians-
Gradians-
Turns-
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About Angle Units

Degrees are the most familiar angle unit, radians are standard in math and physics, gradians are used in some surveying contexts, and turns describe full rotations - this tool converts between all four.

Formula

Radians = Degrees × (π ÷ 180)  |  Gradians = Degrees ÷ 0.9  |  Turns = Degrees ÷ 360

How to Use This Calculator

Example

90 degrees converts to about 1.5708 radians, 100 gradians, and 0.25 turns (a quarter rotation).

Frequently Asked Questions

What angle units does this support?

Common units include degrees, radians, gradians (gons), and sometimes minutes/seconds of arc — convert between any of them instantly.

How do degrees convert to radians?

Radians = degrees × (π ÷ 180). For example, 180° equals π radians (about 3.14159).

What's a gradian?

A gradian (or gon) divides a full circle into 400 units instead of 360 degrees, mostly used in surveying and some European engineering contexts.

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