Convert grad to radian
Please provide values below to convert grad [^g] to radian [rad], or Convert radian to grad.
1 ^g = 0.015707963268 rad. To convert grad to radian, multiply the value by 0.015707963268; to go the other way, divide by it (1 rad = 63.6619772367 ^g). Both units measure angle and appear in everyday as well as technical calculations, so switching between them quickly is often useful.
Quick Reference
- 1 ^g = 0.015707963268 rad
- 1 rad = 63.6619772367 ^g
- 10 ^g = 0.15707963268 rad
- 100 ^g = 1.5707963268 rad
How to Convert Grad to Radian
1 ^g = 0.0157079632679715 rad
Example: convert 15 ^g to rad:
15 ^g = 15 × 0.0157079632679715 rad = 0.235619449019573 rad
Grad to Radian Conversion Table
| grad | radian |
|---|---|
| 1 ^g | 0.015707963268 rad |
| 2 ^g | 0.0314159265359 rad |
| 3 ^g | 0.0471238898039 rad |
| 5 ^g | 0.0785398163399 rad |
| 10 ^g | 0.15707963268 rad |
| 20 ^g | 0.314159265359 rad |
| 50 ^g | 0.785398163399 rad |
| 100 ^g | 1.5707963268 rad |
| 500 ^g | 7.85398163399 rad |
| 1000 ^g | 15.707963268 rad |
Grad
A grad, also known as a gon, is a unit of angular measurement equal to 1/400 of a full circle, or 0.9 degrees.
History/Origin
The grad was introduced in the 19th century as part of the metric system for surveying and military purposes, primarily used in Europe. It was designed to simplify calculations related to angles and bearings.
Current Use
Today, the grad is used mainly in surveying, cartography, and military applications in some countries. It is also employed in certain scientific and engineering contexts where a decimal-based angular unit is preferred.
Radian
A radian is the standard unit of angular measure in mathematics, defined as the angle subtended at the center of a circle by an arc equal in length to the circle's radius.
History/Origin
The radian was introduced in the 19th century as a natural unit of angular measurement based on the properties of circles, providing a more mathematically convenient measure than degrees.
Current Use
Radians are widely used in mathematics, physics, and engineering for calculations involving angles, trigonometry, and periodic functions, serving as the standard angular unit in many scientific contexts.
Frequently Asked Questions
What is 1 grad in radian?
1 grad (^g) = 0.015707963268 radian (rad).
How do you convert grad to radian?
Multiply the grad value by 0.015707963268. For example, 25 ^g × 0.015707963268 = 0.392699081699 rad.
What is 10 grad in radian?
10 ^g = 0.15707963268 rad.
Which unit is larger, the grad or the radian?
The radian is the larger unit: 1 ^g equals only 0.015707963268 rad.