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)


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