Bill is making extra-large pancakes. each pancake has a diameter of 12 inches! will a round plate with an area of 100 square inches be large enough to hold one of these huge pancakes without the pancake hanging over the edges?

We know each pancake has a diameter of 12 inches, so its radius is half that, or 6 inches.

so the area of each pancake is A = πr², or π6², or 36π, or about 113.097 in².

now, the round plate can only hold 100 in², so the pancake will be overflowing the plate by 113.097 - 100 or about 13 in².

what we can do is, give me the pancake, I'll eat the 13 in², and then we'll fit in the plate.