Circular segment

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.

Formula

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 $R = h + d = h/2+c^2/8h \frac{}{}$
The arc length is $s = \frac{\theta}{180}\pi R = {\theta} R = \arcsin\left(\frac{c}{h+\frac{c^2}{4h}}\right)\left(h + \frac{c^2}{4h}\right)$