Circular Garden and Circular Statue

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The ground within a circular garden and around the base of a circular statue exactly in its center, as shown in the figure above, is to be covered with gravel. If the base of the statue is 2 feet in diameter, how many square feet are to be covered with gravel?

Review: Circular Garden and Circular Statue


Explanation

The area to be covered with gravel is the area within the garden and not covered by the statue, so it will be the difference of these two areas. The radius of the statue is half the diameter, so it's 1. The radius of the large circle is 20 plus the radius of the statue, since the statue is in the center of the garden, so it's 21. Using for the area of a circle, the small area is and the larger area is . The difference is .

The correct answer is (E).


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