# 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