# Circle!

Geometry Level 3

Let $$C_0$$ be a unit circle. For $$n\geq 1$$, let $$C_n$$ be a circle whose area equals the area of a square inscribed in $$C_{n-1}$$, where $$n=1,2,3,\ldots$$.

Compute $\large \sum_{i=1}^{\infty}\text{Area}(C_i) \; .$

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