Take a circle of radius 1. Within the circle, inscribe an equilateral triangle. Then, within the triangle,
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Question:
Take a circle of radius 1.
Within the circle, inscribe an equilateral triangle. Then, within the triangle, inscribe new smaller circle.
Within the smaller circle inscribe a regular square, and within the square, inscribe yet another circle.
Within the smaller circle inscribe a regular hexagon, and within the pentagon, inscribe yet another circle.
Iterate this process of inscribing regular polygon and a new smaller circle, increasing the number of sides of the polygon by 1 each time.
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