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 side. They consist of a centre 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.
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