User:Eirik1231/Circular segment
In geometry, a circular segment (symbol: ⌓) is an area of a circle informally defined as an area which is "cut off" from the rest of the circle by a secant or a chord. The circle segment constitutes the part between the secant and an arc, excluding of the circle's center.
Formulas[edit]
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.
- The radius is
- The arc length is
- The chord length is
- The height is
- The angle is
Area[edit]
The area of the circular segment is equal to the area of the circular sector minus the area of the triangular portion.
See also[edit]
External links[edit]
- Weisstein, Eric W. "Circular segment". MathWorld.
- Definition of a circular segment With interactive animation
- Formulae for area of a circular segment With interactive animation
- Circular segment calculator