Degree to Radian Converter
°
rad
1. 1 ° × 1 = 1 °
2. 1 ° ÷ 57.2958 = 0.0175 rad
2. 1 ° ÷ 57.2958 = 0.0175 rad
Unit Information
Degree (°)
The degree is a measurement of a plane angle, representing 1/360 of a full rotation. It is the most commonly used angular unit in many fields.
1° = 0.01745 rad1° = 1.111 grad360° = 2π rad
Radian (rad)
The radian is the SI unit for measuring angles. It is defined as the angle made at the center of a circle by an arc whose length equals the radius.
1 rad = 57.296°1 rad = 63.662 grad2π rad = 360°
Common Applications
Degree
- Navigation
- Geography
- Engineering drawings
- Astronomy
Radian
- Mathematical calculations
- Physics
- Engineering
- Signal processing
Examples
- A right angle is 90° (1.571 rad)
- A straight angle is 180° (3.142 rad)
- A full circle is 360° (6.283 rad)
- A typical roof pitch might be 45° (0.785 rad)
Visual Comparison
57.296° = 1 rad
1°