If the circumference of a circle is 6, what is the area of the circle?

The image is attached here. The answer is 9/pi, but I am struggling to figure out the process. Thanks so much.

If the circumference of a circle is 6, what is the area of the circle?

The image is attached here. The answer is 9/pi, but I am struggling to figure out the process. Thanks so much.

I would say that this question is testing your foundations. First, it says that the circumference of a circle is 6. What is the circumference of a circle? It is the perimeter, and the formula of the circumference (call it C) is C=2r\pi where r is the radius of the circle, so 2r is the diameter of the circle. Now, it says that 2r\pi = 6 so we can solve for r and get that r=3/\pi. Now, the question asks for the area of such circle, so the formula of the area (call it A) is A=\pi r^2. Notice that we now know the value of r, so just plug it in and see that A=\pi (3/\pi)^2 which is 9/\pi.

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