What is the area of a circle with a radius of 3?

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To find the area of a circle, you use the formula:

Area = π * r²

where r is the radius of the circle. In this case, the radius is given as 3. By substituting the radius into the formula, you calculate the area as follows:

Area = π * (3)²

Area = π * 9

Area = 9π

This shows that the area of the circle is 9π, which corresponds with the correct answer.

When evaluating the other options, one can see that they provide multiples that stem from either different radii or incorrect applications of the area formula. For instance, to reach areas of 12π, 15π, or 18π, the calculations would require incorrect values for the radius or incorrect application of the area formula, confirming why 9π is the accurate representation of the area for a circle with a radius of 3.

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