Polar Area - do you know how?

Calculus Level pending

The area of the region outside of r = 9 + 9 s i n ( θ ) \displaystyle r = 9 + 9 sin(\theta) , but inside of r = 27 s i n ( θ ) \displaystyle r=27sin(\theta) can be written as a π \displaystyle a\pi . Find a \displaystyle a .


The answer is 81.

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