Geometry
Circle segments
Chords, sagittas, segment areas and sector perimeters.
Geometry
Circle chord length
c = 2r sin(φ/2)→GeometryCircle segment sagitta
h = r(1 − cos(φ/2))→GeometryCircle segment area
S = r²(θ − sin θ) / 2→GeometryCircle sector perimeter
P = 2r + 2πrφ/360°→GeometryCircular segment area from height
S=r²acos((r−h)/r)−(r−h)√(2rh−h²)→GeometryCircular segment chord from height
c = 2√(2rh−h²)→GeometryCircular segment height from chord
h = r−√(r²−(c/2)²)→