Question

Sandy cut out 2 squares and 7 circles from a piece of cardboard. The length of the sides of each square was x inches and radius of each circle was y inches. The expression below shows how many more square inches of cardboard Sandy used for making the circles than the squares:
7πy2 - 2x2

What does the term 7πy2 in the expression represent?

Answer 1

$7\pi y^2\ represent\ the\ area\ of\ 7\ circles.\\\\Area\ of\ the\ circle:A_O=\pi r^2\ where\ r\ is\ a\ radius\ of\ the\ circle.\\\\In\ your\ example\ r=y\ therefore\ area\ of\ the\ one\ circle\ is\ equal:\\\\A_O=\pi y^2\\\\area\ of\ the\ 7\ circles\ is\ equal\ 7A_O=7\pi y^2$