Area of a circular sector (radians)

Description

Circular arc is a segment of a circle. A circular sector or circle sector is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. 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 the circular sector can be obtained by the circle’s radius and the corresponding central angle (in radians).

Related formulas

Variables

AArea of the sector (m2)
θCentral angle to the sector (radians)
rRadius (m)