Equation of a(adsbygoogle = window.adsbygoogle || []).push({}); hypocycloidis:

[tex]x^{3/2} + y^{3/2} = a^{3/2}[/tex].

Find the area of the figure bounded by this hypocycloid.

My work:

I can use the plane polar coordinates here taking [itex]x = a\cos t[/itex] & [itex]y = a\sin t[/itex] with [itex]t = [0, 2\pi][/itex]. But I don't know how to obtain the surface integral for evaluating the area ( :yuck: ) . Someone help me.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Area bounded by hypocycloid

**Physics Forums | Science Articles, Homework Help, Discussion**