Convert 15 Degrees to Radians
Convert between Degrees and Radians with step-by-step calculation. 1 Degrees = 0.0175 Radians.
1 radian ≈ 57.2958 degrees
To convert degrees to radians, divide by 57.2958.
15 ° × 1 rad57.2958 °
≈ 15 ÷ 57.2958
≈ 0.2618 rad (rounded to 4 decimal places)
15 degrees ≈ 0.2618 radians
| Degrees | Radians |
|---|---|
| 1 | 0.0175 |
| 15 | 0.2618 |
| 30 | 0.5236 |
| 45 | 0.7854 |
| 60 | 1.0472 |
| 90 | 1.5708 |
| 120 | 2.0944 |
| 180 | 3.1416 |
| 270 | 4.7124 |
| 360 | 6.2832 |
How to Convert Degrees to Radians
Multiply degrees by π/180 (approximately 0.01745329).
Formula: radians = degrees × π/180
Key Angles
0° = 0 rad. 30° = π/6. 45° = π/4. 60° = π/3. 90° = π/2. 180° = π. 270° = 3π/2. 360° = 2π.
Why Radians?
Radians simplify calculus formulas — the derivative of sin(x) is cos(x) only when x is in radians. Most programming languages (Python, JavaScript, C++) expect radians in their trigonometric functions.
Frequently Asked Questions
How many radians is 180 degrees?
180° = π radians ≈ 3.14159 radians.
How many radians is a full circle?
A full circle (360°) = 2π radians ≈ 6.28318 radians.
Do I need radians for programming?
Yes. Math.sin(), Math.cos(), and Math.atan2() in JavaScript, Python, and most languages use radians. Convert degrees first: radians = degrees × Math.PI / 180.