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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 area of the shaded region?

Jul 5, 2022

#1
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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 units2

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Jul 5, 2022
#2
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Looks right.

$$\phantom{Express your answer in terms of pi}$$

Guest Jul 5, 2022
#3
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Rectangle area $$= l \times w = 4 \times 2 = 8^2$$

Jul 5, 2022
#4
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hey nerdie i know what you meant but you didn't say it right, 82 is 64

Guest Jul 6, 2022