Area of Sectors Area of Sectors & Segments& Segments

Area of Sectors Area of Sectors & Segments& Segments

Introduction• An arc of a circle is

any connected part of the circle's circumference. A sector is a region bounded by two radii and an arc lying between the radii, and a segment is a region bounded by

a chord and an arc lying between the chord's endpoints.

Area of Area of sectorssectorsArea of Area of sectorssectors

•A circular sector or circle sector, is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.

Its area can be calculated as described below:

Also, if θ refers to the central angle in degrees, a similar formula can be derived:

Area of Area of SegmentSegmentArea of Area of

SegmentSegment

•A circular segment  is an area of a circle informally

defined as an area which is "cut off" from the rest of the circle by a chord. The circle segment constitutes the part between the secant and an arc, excluding the circle's center.

• The area of the circular segment is equal to the area of the circular sector minus the area of the triangular portion.

The radius is                            

• The arc length is 

• The area is 

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