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, πr².

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

⇒ A / C = πr² / 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.