Question

A circular pizza is being made that will fit in a box that is 14 inches by 16 inches. A 2-inch border is needed between the edge of the box and the pizza. What is the radius, in inches, of the largest pizza that can fit in the box?

Answer 1

Now, as the pizza is circular, so it does not matter about the box shape. If the box shape increases or decreases, the pizza shape is the same.

Now, we have been asked about the largest pizza radii that can fit in the box, so we will consider the shortest value of the box.

The width is given as 14 inches. There is a 2 inch border around the pizza. So, the width is 14-4 = 10 inches. (Now assume this as the diameter of pizza)

And the radius is = $\frac{10}{2}=5$ inches.

So, the largest pizza that can fit in the box will have a radius of 5 inches.