# Nice shape

Calculus Level 4

Point A and Point B are $$(-1,0)$$ and $$(1,0)$$ respectively. There exists a Point C where $$AC+BC=4$$. Given that all of the possible places of Point C forms a shape, and that shape has an area $$A$$ that can be expressed as $$b\sqrt { a } \pi$$, where $$a$$ and $$b$$ are co-primes, find the value of $$100(ab)$$

(This is one of my class problems)

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