Convert Degrees to Radians
Seamlessly convert values from Degrees (deg) to Radians (rad). Includes the exact formula, a quick reference table, and real-world context.
Conversion Formula
Radians = Degrees × 0.017453Degrees to Radians Conversion Table
| Degrees (deg) | Radians (rad) |
|---|---|
| 1 deg | 0.017453 rad |
| 2 deg | 0.034907 rad |
| 5 deg | 0.087266 rad |
| 10 deg | 0.174533 rad |
| 15 deg | 0.261799 rad |
| 20 deg | 0.349066 rad |
| 25 deg | 0.436332 rad |
| 50 deg | 0.872665 rad |
| 100 deg | 1.7453 rad |
| 500 deg | 8.7266 rad |
About Degrees
The degree is the most common unit for measuring angles. A full circle contains 360 degrees. It is used in geometry, navigation, geography (latitude/longitude), and everyday angle measurements.
Real-World Examples
- A right angle is exactly 90 degrees
- The leaning Tower of Pisa leans at about 3.97 degrees from vertical
- A perfect slam dunk requires a release angle of about 52 degrees
💡 Did you know? The choice of 360 degrees in a circle dates back to ancient Babylon, where a base-60 (sexagesimal) number system was used. 360 was chosen because it has many divisors (1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180).
About Radians
The radian is the SI unit for measuring angles. One radian is the angle subtended at the center of a circle by an arc equal in length to the radius. A full circle equals 2π radians (approximately 6.2832 radians).
Real-World Examples
- A right angle equals π/2 radians (approximately 1.5708)
- A full rotation equals 2π radians (approximately 6.2832)
- In calculus, trigonometric functions use radians by default
💡 Did you know? Radians are considered 'dimensionless' units because they represent a ratio of two lengths (arc length to radius). This is why they are preferred in physics and higher mathematics.
Frequently Asked Questions
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