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 area of the shaded region?

Guest Jul 5, 2022

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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 area of the shaded region?*

The long side (length) of the rectangle is 4 radii long, i.e., 4 units

The short side (width) of the rectangle is 2 radii long, i.e., 2 units

Area of the rectangle is length times width = 4 • 2 = **8 units ^{2}**

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Guest Jul 5, 2022