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# geometry

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The two externally tangent circles each have a radius of 1 unit. Each circle is tangent to three sides of the rectangle. What is the total perimeter of the shaded region? Express your answer in terms of pi

May 2, 2022

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Because the circle has a radius of 1, we know the rectangle's dimensions are $$4 \times 2$$

Note that the perimeter of the shaded region is the perimeter of the rectangle plus the perimeter of the 2 circles.

The circumference/perimeter of the circle can be found using the formula $$2 \pi r$$

Can you take it from here?

May 2, 2022