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Suppose we have a circle of radius 1. Four circles of radius,r,are drawn so thatthey are mutually tangent to the circle of radius 1 and

Suppose we have a circle of radius 1. Four circles of radius,r,are drawn so thatthey are mutually tangent to the circle of radius 1 and to eachother (imaginea small circle with 4 large circles drawn around it so the large circles all touchthe small one and each large circle touches its two large neighbors). What isr?

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