Parameterization Of A Cycloid I need to find the length of $x^{2/3}+y^{2/3}=1$ which is said to be a Cycloid. There is an answer fo for it but how did they get to the parameterization?

This is astroid, not cycloid that you are quoting. You can find all that you need in Wiki and elswhere, it's a well known curve.

Astroid is the locus of a point on a circle as it rolls inside a fixed circle with four times the radius.

Cycloid is the curve traced by a point on a circle as it rolls along a straight line.