The area of a circle with a 6-inch diameter is approximately what value?

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Multiple Choice

The area of a circle with a 6-inch diameter is approximately what value?

Explanation:
Area of a circle is found with A = πr^2. The diameter is 6, so the radius is half of that, r = 3. Plugging in gives A = π(3)^2 = 9π, which is about 28.27 square inches. The other numbers come from using different radii: 9.42 would be π times a radius squared that equals 3 (roughly √3 for the radius), 113.1 would come from using a radius of 6 (36π), and 56.57 corresponds to 18π with a different radius. So the correct setup yields approximately 28.27.

Area of a circle is found with A = πr^2. The diameter is 6, so the radius is half of that, r = 3. Plugging in gives A = π(3)^2 = 9π, which is about 28.27 square inches. The other numbers come from using different radii: 9.42 would be π times a radius squared that equals 3 (roughly √3 for the radius), 113.1 would come from using a radius of 6 (36π), and 56.57 corresponds to 18π with a different radius. So the correct setup yields approximately 28.27.

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