College Math CLEP Prep Practice Exam

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If the circumference of a circle is 24π, what is the area of the circle?

32π
24π
12π
6π

The correct answer is: 6π

The formula for the circumference of a circle is C = 2πr, where r is the radius. Therefore, to solve for the radius, we can divide both sides by 2π. This gives us r = C/2π. In this case, the circumference is given as 24π, so the radius is 24π/2π = 12. To find the area of a circle, we use the formula A = πr^2. Plugging in the radius of 12, we get A = π(12)^2 = 144π. Therefore, the correct answer is D 6π. Option A (32π) is incorrect, as it is double the value of the correct answer. Option B (24π) is incorrect, as this is just the given circumference and not the area. Option C (