Degrees to Radians Converter
Convert degrees to radians.
Degrees → Radians
Enter a value in Degrees•1 Degrees = 0.0174533 Radians
Degrees
Decimals supported.
Result
Radians
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Enter a value to convert Degrees to Radians.
How to convert Degrees to Radians?
Degrees and radians are two common ways to measure angles. The relationship is:
- 180° = π radians
- 1° = π/180 radians
To convert Degrees to Radians, multiply degrees by π/180.
Formula: Radians = Degrees × (π ÷ 180)
Step-by-Step Calculation
- 1Take the number of Degrees you want to convert (e.g., 90).
- 2Multiply that value by π/180.
- 3The result is the value in Radians. (Example: 90 × π/180 = π/2 ≈ 1.5708 rad).
How to use this converter?
Enter degrees and instantly get radians—useful for trigonometry, calculus, engineering, and programming.
Tip: Radians are natural for trig
Many math formulas (especially in calculus) work cleanly in radians. That’s why radians are widely used in advanced math and programming.
Common Degrees to Radians Conversions
| Degrees Input | Radians Result |
|---|---|
| 0° | 0 rad |
| 15° | 0.2618 rad |
| 30° | 0.5236 rad |
| 45° | 0.7854 rad |
| 60° | 1.0472 rad |
| 90° | 1.5708 rad |
| 120° | 2.0944 rad |
| 180° | 3.1416 rad |
| 270° | 4.7124 rad |
| 360° | 6.2832 rad |
Frequently Asked Questions
Q
How do I convert degrees to radians?
Multiply degrees by π/180 to get radians.
Q
How many radians is 180 degrees?
180° equals π radians.
Q
How many radians is 90 degrees?
90° equals π/2 radians (≈ 1.5708).
Q
Why use radians instead of degrees?
Radians simplify many trigonometry and calculus formulas, especially derivatives and integrals.
Q
Is the factor 0.0174533 exact?
It’s a rounded decimal form of π/180. Using π/180 is the exact formula.