ANGLE CONVERTER
Convert degree to radian
Bidirectional real-time conversion instrument. Invert Direction (radian → degree) →
Formula & Calculation Example
Exact Algebraic Formula
1 ° = 0.0174532925199 rad
1 rad = 57.2957795131 °
Step-by-Step Example
Convert 15 ° to rad:
15 × 0.0174532925199 = 0.261799387799 rad
degree to radian Conversion Table
| degree (°) | radian (rad) |
|---|---|
| 0.01 ° | 0.000174532925199 rad |
| 0.1 ° | 0.00174532925199 rad |
| 1 ° | 0.0174532925199 rad |
| 2 ° | 0.0349065850399 rad |
| 3 ° | 0.0523598775598 rad |
| 5 ° | 0.0872664625997 rad |
| 10 ° | 0.174532925199 rad |
| 20 ° | 0.349065850399 rad |
| 50 ° | 0.872664625997 rad |
| 100 ° | 1.74532925199 rad |
| 1000 ° | 17.4532925199 rad |
Related Angle Conversions
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Summary & Quick Answer
1 degree is equal to 0.0174532925199 radian. To convert degree to radian, multiply your degree figure by 0.0174532925199 (or use the formula: 1 ° = 0.0174532925199 rad).
Unit Ratio
1 ° = 0.0174532925199 rad
Reverse Ratio
1 rad = 57.2957795131 °
Measurement Domain
Step-by-Step Calculation Guide
To convert any quantity from degree to radian, follow these steps:
- Step 1: Identify your starting value in degree.
- Step 2: Apply the conversion multiplier:
1 ° = 0.0174532925199 rad. - Step 3: Calculate the product: For example, to convert 10 degree:10 × 0.0174532925199 = 0.174532925199 radian
Frequently Asked Questions: degree to radian
How many radian are in 1 degree?
There are exactly 0.0174532925199 radian in 1 degree.
What is the formula to convert degree to radian?
1 ° = 0.0174532925199 rad. For example: Convert 15 ° to rad: gives 15 × 0.0174532925199 = 0.261799387799 rad.
How do I convert radian back to degree?
1 rad = 57.2957795131 °. 1 radian equals approximately 57.2957795131 degree.
Is this degree to radian conversion accurate?
Yes, UnitGlide calculates all conversions with up to 12 decimal places of precision according to BIPM (Bureau International des Poids et Mesures) and NIST standards.