Radians

noun
  • geometry
    a unit of measurement of angles.
    "a full rotation around the circle is 2π radians."
All terms

Description

Radians are a unit that measure rotation as the ratio of arc length over the radius of a circle. For example, an angle can be measured using radians by dividing the corresponding arc length by its radius.

Radians Definition

In the radian angle system, a full rotation is equal to (tau) radians, where is approximately equal to and is defined as the circumfence of any circle divided by its radius. A half rotation is equal to (pi) radians, where is approximately equal to and is defined as the circumference of any circle divided by its diameter. Read more…

Related Terms

Angle

An angle is a measure of rotation or turning and is usually measured in degrees or radians. In geometry, an angle is the figure formed by two rays, sharing a common endpoint called the vertex.

Circle

A circle is a basic shape used throughout mathematics. A circle is defined as a shape where every point along its perimeter is an equal distance from its center.

Degrees

Degrees are a unit of measurement for angles, representing the rotation between two rays. The degree angle system divides a full rotation into 360 units called degrees.

Links

Radian Angle System

Radians are a unit that measures angle using the radius of a circle. One radian is equal to the amount of rotation required to travel the length of one radius along the circumference of the circle.