Tuesday, October 26, 2010

Segment of a circle

Segment of a circle: When a chord divides the circle into two regions, the two regions are called circle segments.

There are major and minor segments.The major segment is the region bounded by the chord  and the major arc intercepted by the chord. The minor segment is the region bounded by the chord and the minor arc intercepted by the chord.

Circle segment area:The area of the segment of a circle is equal to the the area of the circular sector minus the area of the triangular portion.

The formula of the area of the circle segment is given as:

½ × ( (θ × π/180) - sin θ) × r2   (if θ is in degrees)
circular segment area 

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