Angle Converter

Degrees ↔ radians.

How this calculator works

Converts degrees ↔ radians. π radians = 180 degrees.

Radians are natural units for calculus and trigonometry; degrees dominate everyday and engineering use.

Most programming languages' built-in math functions (sin, cos, tan) expect radians, not degrees, which is a common source of bugs for anyone coding trigonometry without converting first.

Example

180° = π radians ≈ 3.141593 rad.

Frequently asked questions

When are radians used?

Calculus, physics, and any equations involving derivatives of trig functions — the math is cleaner in radians.

Gradians?

A less-common unit where 400 gradians = 360°. Used in surveying in some countries.

Why is a full circle 360 degrees?

It traces back to ancient Babylonian base-60 mathematics and astronomy — 360 divides evenly by many numbers, which made it practical for calculations long before calculators existed.

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