Solution Found!
Arc length Find the length of the hypocycloid (or astroid)
Chapter 7, Problem 41E(choose chapter or problem)
QUESTION:
Arc length Find the length of the hypocycloid (or astroid) \(x^{2 / 3}+y^{2 / 3}=4\).
Questions & Answers
QUESTION:
Arc length Find the length of the hypocycloid (or astroid) \(x^{2 / 3}+y^{2 / 3}=4\).
ANSWER:Problem 41E
Arc length Find the length of the hypocycloid (or asteroid) .
Solution
Step 1
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)