A circle of radius 1 unit is drawn touching the three edges of an equilateral triangle. Three

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A circle of radius 1 unit is drawn touching the three edges of an equilateral triangle.

Three smaller circle are then drawn at each corner to touch the original circle and two edges of the triangle.

This process is then repeated an infinite number of times.

a. Find the sum of the circumferences of all the circles.

b. Find the sum of the areas of all the circles.

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