Angle to Radians Converter
Degree to Radian Conversion
1 Degree = 0.0174532925199433 Radian
Convert between Degree and Radian with step-by-step calculations.
Unit Information
Degree (°)
A common unit of plane angle measurement.
System: Conventional
Radian (rad)
The SI unit of plane angle.
System: SI
Conversion Process
This conversion uses Radian as the base unit. We'll first convert Degree to Radian, then convert from Radian to Radian.
Step 1: Convert from Degree to Radian
1 × 0.0174532925199433 = 0.0174532925199433
Result: 0.0174532925199433 Radian
Step 2: Convert from Radian to Radian
0.0174532925199433 × 1 = 0.0174532925199433
Result: 0.0174532925199433 Radian
Direct Conversion Factor
1 ÷ 57.3 = 0.0174532925199433
Direct conversion: 1 Degree = 0.0174532925199433 Radian
Radian (rad)
System: SI
Definition:1 radian is the angle for which the arc length equals the radius ($s = r$). A full circle is $2\pi$ radians.
Origin: Defined as the angle subtended at the center of a circle by an arc that is equal in length to the radius.
Common Usage: Standard unit for angles in mathematics, physics, engineering, and computer science.
Synonyms: rad