Degrees to Angle 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
Degree (°)
System: Conventional
Definition:1 degree is 1/360 of a full rotation or circle. $1^{\circ} = \frac{\pi}{180}$ radians.
Origin: Historically derived from Babylonian astronomy, dividing a circle into 360 parts.
Common Usage: Widely used in geometry, geography, navigation, engineering, and everyday life.
Synonyms: deg, arcdegree