# Revolution of integrals - astroids

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If f(Î¸) is given by: f(Î¸)=6cos^3Î¸ and g(Î¸) is given by: g(Î¸)=6sin^3Î¸

Find the total length of the astroid described by f(Î¸) and g(Î¸).

(The astroid is the curve swept out by (f(Î¸), g(Î¸)) as Î¸ ranges from 0 to 2pi)

https://brainmass.com/math/integrals/revolution-integrals-asteroids-22466

#### Solution Preview

Please see attach file.

Let , ss you can check, its Cartesian equation is .

It is trace exactly ...

#### Solution Summary

The expert finds the total length of the asteroid. The total length of ranges are given.

$2.49