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Convert Radians to Grads

Seamlessly convert values from Radians (rad) to Grads (grad). Includes the exact formula, a quick reference table, and real-world context.

Conversion Formula

Grads = Radians × 63.661977

Radians to Grads Conversion Table

Radians (rad)Grads (grad)
1 rad63.662 grad
2 rad127.32 grad
5 rad318.31 grad
10 rad636.62 grad
15 rad954.93 grad
20 rad1273.24 grad
25 rad1591.55 grad
50 rad3183.1 grad
100 rad6366.2 grad
500 rad31830.99 grad

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.

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.

Frequently Asked Questions

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