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Name |
Area of Segment |
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Equation |
A
=
1
2
(
r
s
-
c
d
) |
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Definition of terms
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A = area, r = radius, s = arc length, c = length of straight side of segment, d = shortest distance from centre of circle to the straight side of the segment |
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Comments |
Consider a sector of a circle. Drawing a straight line between the ends of the arc marks of an area bounded by this straight line and the side of the circle. This is a segment.
The area of a segment is equal to the area of the sector less the area of the triangle created by the two radii and the straight side of the sector. |
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References |
CRC Standard Mathematical Tables , 26th edition, CRC, 1981 |
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