# Area of a circular segment

## Description

Circular segment is a region of a circle which is “cut off” from the rest of the circle by a secant or a chord. More formally, a circular segment is a region of two-dimensional space that is bounded by an arc (of less than 180°) of a circle and by the chord connecting the endpoints of the arc.

Central angle is an angle whose apex (vertex) is the center of a circle and whose legs (sides) are radii intersecting the circle in two distinct points and thereby subtending an arc between those two points whose angle is (by definition) equal to that of the central angle. The area of a circular segment can be calculated by the radius of the circle and the cental angle of the arc of the segment.

## Variables

A_{seg} | Area of the circular segment (m^{2}) |

R | The radius of the circle (m) |

θ | The central angle (radians) |