Laurie designs a corkboard in the shape of a regular hexagon with a radius of 3 feet. She draws a circle around the hexagon to help her find the area of the
corkboard, as shown in the diagram below. PART A What is the area, in square
feet, of the circle in Laurie's diagram? Round your answer to the nearest
hundredth. PART B Explain how Laurie can use the area of the circle to
approximate the area of the corkboard. PART C Laurie decides to change the
shape of the corkboard from a regular hexagon to a regular octagon. She keeps
the radius of the tabletop and the circle she draws around it the same. Explain
why the area of the circle is a better approximation for the area of the octagon
corkboard than for the hexagon corkboard. Enter all your answers and
explanations in the space provided. *