radian [rad] to gradian [grad] Converter
Quick Reference
1 radian (rad) = 63.66197724 gradian (grad)
1 gradian (grad) = 0.01570796327 radian (rad)
How to Convert radian to gradian
1 rad = 63.66197724 grad
1 grad = 0.01570796327 rad
To convert radian to gradian, multiply the value by 63.66197724. To convert gradian back to radian, divide by 63.66197724.
Example: convert 10 rad to grad:
10 rad = 10 x 63.66197724 = 636.6197724 grad
radian
Definition: A radian is the standard unit of angular measure, used in many areas of mathematics. One radian is defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle.
History/origin: The concept of radian measure was developed in the mid-18th century. Roger Cotes was one of the first to recognize the naturalness of using the radius as the unit of angle measurement. The term 'radian' first appeared in print on 1873, in examination questions set by James Thomson at Queen's College, Belfast.
Current use: Radians are widely used in mathematics, physics, and engineering, particularly in calculus, trigonometry, and signal processing. They simplify many formulas and are the standard unit for angular measurement in scientific and mathematical contexts.
gradian
Definition: A gradian (also known as a gon or grade) is a unit of angular measure, defined as 1/400 of a full rotation. It is primarily used in surveying and some European countries.
History/origin: The gradian was introduced in France during the French Revolution as part of the metric system. It was intended to simplify calculations, as it is based on decimal divisions.
Current use: Gradians are mainly used in surveying, particularly in Europe. They are less common than degrees or radians in most other applications.
radian to gradian Conversion Table
| radian [rad] | gradian [grad] |
|---|---|
| 1 rad | 63.66197724 grad |
| 2 rad | 127.3239545 grad |
| 5 rad | 318.3098862 grad |
| 10 rad | 636.6197724 grad |
| 20 rad | 1273.239545 grad |
| 50 rad | 3183.098862 grad |
| 100 rad | 6366.197724 grad |
| 200 rad | 12732.39545 grad |
| 500 rad | 31830.98862 grad |
| 1000 rad | 63661.97724 grad |
Common radian to gradian conversions
- 1 rad = 63.661977 grad
- 2 rad = 127.323954 grad
- 3 rad = 190.985932 grad
- 4 rad = 254.647909 grad
- 5 rad = 318.309886 grad
- 6 rad = 381.971863 grad
- 7 rad = 445.633841 grad
- 8 rad = 509.295818 grad
- 9 rad = 572.957795 grad
- 10 rad = 636.619772 grad
- 12 rad = 763.943727 grad
- 15 rad = 954.929659 grad
- 20 rad = 1,273.239545 grad
- 25 rad = 1,591.549431 grad
- 30 rad = 1,909.859317 grad
- 40 rad = 2,546.479089 grad
- 50 rad = 3,183.098862 grad
- 60 rad = 3,819.718634 grad
- 75 rad = 4,774.648293 grad
- 100 rad = 6,366.197724 grad
- 150 rad = 9,549.296586 grad
- 200 rad = 12,732.395447 grad
- 250 rad = 15,915.494309 grad
- 300 rad = 19,098.593171 grad
- 500 rad = 31,830.988618 grad
- 750 rad = 47,746.482928 grad
- 1,000 rad = 63,661.977237 grad