Arc length
- Author:
- Šárka Voráčová
Arc length of one arch of cycloid X(t) = (rt – sin t, r – cos t) is 8r where r is radius of the rolling circle. Units of measurements are the same as axis units.
For different values of c you get a various type of cycloid.
- Curtate cycloid: Here the point tracing out the curve is inside the circle, which rolls on a line.
- Prolate cycloid: Here the point tracing out the curve is outside the circle, which rolls on a line.