Conversions Conversion Chart

Angle Conversion Chart

Published September 8, 2026

Conversion factors and the formula for converting between angle units. For the reasoning behind these numbers, see Angle Units Explained.

Radians = Degrees × (π ÷ 180)
Degrees = Radians × (180 ÷ π)

Common Angle Equivalents

Degrees Radians Gradians
90° π/2 ≈ 1.5708 100 grad
180° π ≈ 3.1416 200 grad
270° 3π/2 ≈ 4.7124 300 grad
360° (1 turn) 2π ≈ 6.2832 400 grad

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Frequently Asked Questions

Why does a circle have 360 degrees?

It traces back to the ancient Babylonian base-60 number system and roughly matches the number of days in a year, and the convention stuck.

What is a radian?

The angle formed when the arc length along a circle equals its radius. One radian is about 57.296 degrees.

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