Cycloid Calculator

A cycloid is a line described by a circle point when the latter rolls without sliding along a straight line (guide) (for example, along the abscissa axis). Enter one known value, the rest will be calculated by the calculator.

.

Calculation of the cycloid

Circle radius (a)
Arc length (b)
Base length (c)
Height (h)
Perimeter (p)
The area of the cycloid arch (S)

Formulas

b = 8 a
c = 2 π a
h = 2 a
p = b + c
S = 3 π a²