7. Kendall bought 3 glazed donuts and 3 filled donuts and they fit perfectly in the 9" by 6" box. What is the area of the bottom of the box (the shaded region) not covered by donuts?

Part I: What is the area covered by the three filled donuts? Round your answer to the nearest hundredth. Show your work and explain your reasoning. (4 points)

Part II: What is the area covered by the three glazed donuts? Round your answer to the nearest hundredth. Show your work and explain your reasoning. (3 points)

Part III: What is the area of the bottom of the box not covered by donuts? Show your work and explain your reasoning. (2 points)

8. The school track has eight lanes. Each lane is 1.25 meters wide. The arc at each end of the track is 180. The distance of the home straight and the radii for the arcs in the first four lanes are given.

Part I: Find the radii of lanes 5 through 8 of the track. Show your work. (2 points)

Part II: If Max ran around lane 1, how far did he run? Show your work and explain your solution. Round your answer to the hundredths. (3 points)

Part III: Max wants to run a total of 3 laps around the track. Choose two additional lanes (2-8) for him to run and find the distance around those two lanes. Show your work and round your answer to the hundredths. (4 points)

Part IV: Based on your lane choices in Part III, what was the total distance Max ran in the three laps around the track? Show your work. (1 point)