Degrees to Radians Converter
Convert degrees to radians with a free calculator
How to Convert Degrees to Radians
Formula: 1 ° = 0.01745329252 rad
Multiply your degrees value by 0.01745329252 to get the equivalent in radians. The conversion factor 0.01745329252 is based on the internationally accepted definitions of both units.
Degrees to Radians Reference Table
| Degrees (°) | Radians (rad) |
|---|---|
| 1 ° | 0.01745329252 rad |
| 5 ° | 0.0872664626 rad |
| 10 ° | 0.1745329252 rad |
| 25 ° | 0.436332313 rad |
| 50 ° | 0.872664626 rad |
| 100 ° | 1.745329252 rad |
| 500 ° | 8.72664626 rad |
| 1000 ° | 17.45329252 rad |
Related Conversions
Frequently Asked Questions
How many radians is 180 degrees? +
180 degrees equals π radians (approximately 3.14159). This is because a full circle is 360 degrees or 2π radians.
What is the formula for degrees to radians? +
Multiply the degree value by π/180. For example, 45 degrees = 45 x π/180 = π/4 radians.
Why do mathematicians prefer radians? +
Radians simplify calculus formulas. The derivative of sin(x) is cos(x) only when x is in radians. In degrees, you get an extra π/180 factor.