Radian to Degree Converter

How to Convert Radians to Degrees

To convert from radians to degrees, use the following factor:

1 Radian = 0.017453 Degree

Example:

15 radians = 15 × 0.017453 Degree = 0.261799 Degree


Radian to Degree Conversion Table

Radian0.01
Degree0.000175
Radian0.1
Degree0.001745
Radian1
Degree0.017453
Radian2
Degree0.034907
Radian5
Degree0.087266
Radian10
Degree0.174533
Radian20
Degree0.349066
Radian50
Degree0.872664
Radian100
Degree1.745329
Radian1,000
Degree17.453286

Radian Definition

SI unit of angular measure, defined by arc length equal to radius.

History/Origin

Concept formalized in the 1700s.

Current Use

Used extensively in calculus, trigonometry, and physics.

Degree Definition

A degree (symbol: °) is 1/360 of a full rotation.

History/Origin

Likely adopted by ancient astronomers due to 360-day approximations.

Current Use

Most common unit for angles in geometry and everyday life.

Popular Angle Conversions

Convert Radian to Other Units

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