Convert circle to radian
Please provide values below to convert circle [None] to radian [rad], or Convert radian to circle.
1 None = 6.28318530719 rad. To convert circle to radian, multiply the value by 6.28318530719; to go the other way, divide by it (1 rad = 0.159154943092 None). Both units measure angle and appear in everyday as well as technical calculations, so switching between them quickly is often useful.
Quick Reference
- 1 None = 6.28318530719 rad
- 1 rad = 0.159154943092 None
- 10 None = 62.8318530719 rad
- 100 None = 628.318530719 rad
How to Convert Circle to Radian
1 None = 6.28318530718861 rad
Example: convert 15 None to rad:
15 None = 15 × 6.28318530718861 rad = 94.2477796078292 rad
Circle to Radian Conversion Table
| circle | radian |
|---|---|
| 1 None | 6.28318530719 rad |
| 2 None | 12.5663706144 rad |
| 3 None | 18.8495559216 rad |
| 5 None | 31.4159265359 rad |
| 10 None | 62.8318530719 rad |
| 20 None | 125.663706144 rad |
| 50 None | 314.159265359 rad |
| 100 None | 628.318530719 rad |
| 500 None | 3141.59265359 rad |
| 1000 None | 6283.18530719 rad |
Circle
A circle is a geometric shape consisting of all points in a plane that are equidistant from a fixed center point.
History/Origin
The concept of the circle dates back to ancient civilizations such as the Egyptians and Greeks, who studied its properties and used it in astronomy, architecture, and mathematics. The Greek mathematician Euclid formalized many properties of the circle in his works.
Current Use
In the context of angle measurement, a circle is used as the basis for defining degrees, with 360 degrees representing a full rotation. It is fundamental in fields like geometry, engineering, and navigation for measuring angles and designing circular objects.
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 circle in radian?
1 circle (None) = 6.28318530719 radian (rad).
How do you convert circle to radian?
Multiply the circle value by 6.28318530719. For example, 25 None × 6.28318530719 = 157.07963268 rad.
What is 10 circle in radian?
10 None = 62.8318530719 rad.
Which unit is larger, the circle or the radian?
The circle is the larger unit: 1 None = 6.28318530719 rad.