# Find a function that models the area A of a circle in terms of its circumference C.

Circles are closed shapes with don't have any sides. They consist of a center and a radius. They have many real-life applications.

## Answer: The function that models the area A of a circle in terms of its circumference C is A = Cr / 2, where r is the radius of the circle.

Lets' understand the solution in detail.

**Explanation:**

Now, we know that the circumference of a circle with radius r is 2πr.

The area of the circle is also known, that is, πr^{2}.

Now, we take the ratio of the area and the circumference:

⇒ A / C = πr^{2} / 2πr

⇒ A / C = r / 2

⇒ A = Cr / 2

### Hence, the function that models the area A of a circle in terms of its circumference C is A = Cr / 2, where r is the radius of the circle.

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