Degrees to Radians Conversion Table
Convert 1-360 degrees to radians
Any angle value in ° can be converted to rad using the conversion factor:
- 1 degree = 0.0174533 radian
- rad = degrees × π/180
° → rad Quick Converter
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What is Degree (°)?
The degree (°) is a non-SI unit of plane angle defined as 1/360 of a full rotation.It is accepted for use with the SI due to its long-standing practical importance in navigation, surveying, engineering, astronomy, geodesy, and daily measurement.
What is Radian (rad)?
The radian (rad) is the SI derived unit of plane angle. It is defined as the angle subtended at the center of a circle by an arc equal in length to the radius.Although mathematically dimensionless, the radian is retained as a named unit in the SI to preserve clarity in scientific, engineering, physics, trigonometry, and calculus contexts.
How to Convert Degree to Radian
Example
Convert 37 ° to rad:
37 × 0.0174533 = 0.645772 rad
Degrees to Radians Conversion Table
Values from 1 to 360 °.
Related Conversions
Frequently Asked Questions
How do I convert degrees to radians?
To convert degrees to radians, multiply the degree value by π/180 (approximately 0.01745329). For example: 90° × (π/180) = π/2 ≈ 1.5708 radians.
How many radians are in 180 degrees?
180 degrees equals exactly π radians (approximately 3.14159).
Why are radians used instead of degrees?
Radians simplify mathematical formulas, especially in calculus. Many trigonometric identities and derivatives are cleaner when angles are expressed in radians.
What is 1 radian in degrees?
1 radian equals approximately 57.2958 degrees. More precisely, 1 rad = 180/π degrees.
How accurate is this degrees to radians conversion table?
This conversion table uses the exact conversion factor (π/180) with up to 6 significant figures, ensuring high precision for scientific and engineering applications.
