Convert Grads to Radians
Seamlessly convert values from Grads (grad) to Radians (rad). Includes the exact formula, a quick reference table, and real-world context.
Conversion Formula
Radians = Grads × 0.015708Grads to Radians Conversion Table
| Grads (grad) | Radians (rad) |
|---|---|
| 1 grad | 0.015708 rad |
| 2 grad | 0.031416 rad |
| 5 grad | 0.07854 rad |
| 10 grad | 0.15708 rad |
| 15 grad | 0.235619 rad |
| 20 grad | 0.314159 rad |
| 25 grad | 0.392699 rad |
| 50 grad | 0.785398 rad |
| 100 grad | 1.5708 rad |
| 500 grad | 7.854 rad |
About Grads
The gradian (also called gon or grade) divides a full circle into 400 units instead of 360. A right angle equals 100 gradians. It is used in some European countries for surveying and civil engineering.
Real-World Examples
- A right angle equals 100 gradians
- A full circle equals 400 gradians
- French and Swiss surveyors traditionally use gradians
💡 Did you know? The gradian was introduced during the French Revolution as part of the metric system. While most metric units succeeded globally, the gradian never replaced the degree in everyday use.
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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