# Circular segment

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In geometry, a **circular segment** (symbol: **⌓**) 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.

## Formulae

Let **R** be the radius of the circle, **θ** is the central angle in radians, **α** is the central angle in degrees, **c** the chord length, **s** the arc length, **h** the height of the segment, and **d** the height of the triangular portion.

### Area

The area of the circular segment is equal to the area of the circular sector minus the area of the triangular portion—that is,

or with the central in degrees,

## See also

## References

## External links

- Definition of a circular segment With interactive animation
- Formulae for area of a circular segment With interactive animation