Arc length Find the length of the hypocycloid (or astroid) x2/3 + y2/3 = 4.

Problem 41E

Arc length Find the length of the hypocycloid (or asteroid) .

Step 1</p>

In this problem we have to find the length of the hypocycloid

The arc length is … (1)

We have

Differentiating both sides with respect to , we get

… (2)