Cycloid Calculator
Results
Arc Length
-
Area Under Curve
-
About Cycloid
A cycloid is the curve traced by a point on the rim of a circular wheel as the wheel rolls along a straight line without slipping. It has several interesting properties:
Parametric Equations
x = r(θ - sin(θ))
y = r(1 - cos(θ))
Where r is the radius of the rolling circle and θ is the angle of rotation.
Arc Length
L = 8r
For one complete revolution, where r is the radius of the rolling circle.
Area Under Curve
A = 3πr²
For one complete revolution, where r is the radius of the rolling circle.