rad

What is a Radian?

The radian is the SI unit of angle, defined as the angle subtended at the center of a circle by an arc equal in length to the radius.

The radian is the SI unit of angle, defined as the angle subtended at the center of a circle by an arc equal in length to the radius.

Proposed in 1873 by Scottish physicist James Thomson, it was adopted as the SI angle unit for its natural fit in mathematical calculations.

Measurement system: International System of Units (SI). SI equivalent: Base SI angle unit (2π rad = 360°).

Radian facts

Unit name
Radian
Symbol
rad
Category
Angle
Measurement system
International System of Units (SI)
SI equivalent
Base SI angle unit (2π rad = 360°)
Common uses
Trigonometry, engineering calculations, angular velocity and acceleration formulas

Definition of the radian

The radian is the SI unit of angle, defined as the angle subtended at the center of a circle by an arc equal in length to the radius.

Measurement system and SI relationship

International System of Units (SI)

SI equivalent: Base SI angle unit (2π rad = 360°)

History of the radian

Proposed in 1873 by Scottish physicist James Thomson, it was adopted as the SI angle unit for its natural fit in mathematical calculations.

Where is the radian used?

Trigonometry, engineering calculations, angular velocity and acceleration formulas

Radian conversion tools

Other languages

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