CEMC Cayley, 1999

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

Three circles, each with a radius of 10 cm, are drawn tangent to each other so that their centres are all in a straight line. These circles are inscribed in a rectangle which is inscribed in another circle. The area of the largest circle is

(A) $1000\pi$ (B) $1700\pi$ (C) $900\pi$ (D) $1600\pi$ (E) $1300\pi$

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