Circular Segment Calculator
Calculation on a circular segment. A circular segment is formed by a circle and one of its chords. Enter the values of the radius of the circle, the height of the segment and its angle. Angles are calculated and displayed in degrees.
.Circular segment
Radius (r)
Height (h)
Corner (α)
Arc length (l)
Chord length (m)
Perimeter (P)
Square (S)
Formulas
α = 2 * arccos ( 1 – h / r )
h = r * ( 1 – cos(α/2) )
l = r * α
m = 2 * √2 * r * h – h2
p = l + m
S = r * l / 2 – m * ( r – h ) / 2