# A Date in the Polar Coordinate System (Part 3)

Calculus Level 4

Part 1

Part 2

Rebecca, on the other hand, thinks the best (Answer to Part 1) (which has equation $$r=k+k\sin\theta$$ for some $$k<0$$) is the unique one that has equal perimeter and area. This one has a $$k$$ value equal to $$\dfrac{-X}{Y\pi}$$. Find $$X+Y.$$

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