Question

Suppose a pizza must fit into a box with a base that is 12 inches wide.

You can use the quadratic function a=(Pi)r^2 to find the area of a pizza in terms of its radius.

What values of r make sense for the function?

What values of a make sense for the function?

Answer 1

The area of the whole pizza must be at most 113.10 square inches in order to perfectly fit in the box. The values of r represent the half of the length of the pizza with respect to its center. In this case, the r must not exceed 6 inches (r ≤ 6 inches) in order to fit in the pizza box. On the other hand, the values of a represent the total area the pizza will occupy. In this case, the a must not exceed 113.10 square inches (a ≤ 113.10) in order to house the pizza perfectly.