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What is a Radian?

Angle Unit

Definition

A radian is a unit of angle where the arc length equals the radius. One full rotation is 2π radians.

History

The radian was first described by Roger Cotes in 1714. It became the standard unit for angles in mathematics and physics.

Common Uses

  • Mathematics and calculus
  • Physics calculations
  • Engineering applications
  • Computer graphics

Fun Facts

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π radians equals 180 degrees

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1 radian is about 57.3 degrees

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Trigonometric functions often use radians

All Radian Conversions