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The maximum distance across a circle is 12 centimeters. Which of the following is the area of this circle to the nearest square centimeter? (1) 38 (3) 276 (2) 113 (4)452

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Final answer:

The area of the circle is approximately 113 square centimeters.

Step-by-step explanation:

To find the area of a circle, we need to use the formula A = πr^2, where A is the area and r is the radius. In this case, the maximum distance across the circle is the diameter, which is twice the radius. Therefore, the radius is 6 centimeters. Plugging this into the formula, we get A = π(6^2) = 36π square centimeters. To the nearest square centimeter, this is approximately 113 square centimeters. Therefore, the correct answer is (2) 113.

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