Unit category

Angle Conversions

Convert between degrees, radians and gradians and review units used for trigonometry, engineering drawing and navigation.

Convert all category units

Live result

57.2957795131 °1 rad = 57.2957795131 °

Popular conversions

2 pairs

Unit guides

3 units

Detailed guide to this category

Angle measures the amount of rotation between two rays sharing a common endpoint.

The radian is the SI unit of angle, while the degree is the most common practical unit for everyday and navigational use.

Physical quantity
Angle
SI unit
Radian
Common practical unit
Degree
Typical use
Trigonometry, navigation and engineering drawing

What is angle?

Angle is the amount of rotation between two rays sharing a common endpoint, measured in degrees, radians or gradians.

It is used in trigonometry, geometry, navigation and engineering.

Degrees, radians and gradians

A full circle is 360 degrees, 2π radians, or 400 gradians. The degree traces back to ancient Babylonian base-60 mathematics, while the radian is the natural SI unit for mathematical calculations.

Units

UnitSymbolInformation
RadianradView unit guide
Degree°View unit guide
GradiangonView unit guide

Sources

The definitions and conversion relationships on this page are aligned with standard metrology and SI reference material.

  1. BIPM: The International System of Units (SI Brochure)
  2. NIST: Guide for the Use of the International System of Units

Other languages

View the Turkish version