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Two circles of diameters r and 2r are cut from a circle. The sum of diameters of small cycles is equal to the diameter of big circle. The area of uncut portion is 100π cc. What is the diameter of the biggest circle out of the three circles?

Two circles of diameters r and 2r are cut from a circle. The sum of diameters of small cycles is equal to the diameter of big circle. The area of uncut portion is 100π cc. What is the diameter of the biggest circle out of the three circles? Correct Answer 30 cm

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