The Gemstone

Geometry Level 3

If all circles with centers \(A, B, C, D, E\) and \(F\) have the same radius of 7, what is the area of the blue circle squeezed into the yellow shaded region given that circles \(E\) and \(F\) passes through the centers of the other circles.

Give your answer to 2 decimal places.

Easier problem.

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