Convert circle to radian
Please provide values below to convert circle [None] to radian [rad], or Convert radian to circle.
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 |
|---|
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.