# 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