Question 113 points} 2. Tim works on the following exercise: For each radius r, find the area of a circle of that radius: r = 2 inchEs. r = 5 eet, r = 3.4 meters Tim gives the following answers: 3?.43, 246.14. 96.39? Identify the errors that Tim has made. How did Tim likely calculate his answers? Discuss how to correct the errors; include a discussion on the proper use of a calculator in solving Tim's exercise. Be sure to discuss the appropriate wet.r to write the answers to the exercise. Question 2 (3 points) 3. A large running track is constructed to have straight sections and two semicircular sections with dimensions given in the figure. Assume that runners always run on the inside line of their lane. A race consists of one full counterclockwise revolution around the track plus an extra portion of straight segment, to end up at the finish line shown. What should the distance x between the two starting blocks be in order to make a fair race? Explain your reasoning.Question 3 (3 points) 6. Lauriann and Kinsey are in charge of the annual pizza party. In the past, they've always ordered 12-inch-diameter round pizzas, and each 12-inch pizza has always served 6 people. This year, the jumbo 16-inch-diameter round pizzas are on special, so Lauriann and Kinsey decide to get 16-inch pizzas instead. They think that since a 12-inch pizza serves 6 (which is half of 12), a 16-inch pizza should serve 8 (which is half of 16). But when Lauriann and Kinsey see a 16-inch pizza, they think it ought to serve even more than 8 people. Suddenly, Kinsey realizes the flaw in their reasoning that a 16-inch pizza should serve 8. Kinsey has an idea for determining how many people a 16-inch pizza will serve. What mathematical reasoning might Kinsey be thinking of, and how many people should a 16-inch-diameter pizza serve if a 12- inch-diameter pizza serves 6? Explain your answers.Question 4 (3 points) 7. Penguins huddle together to stay warm in very cold weather. Suppose that a certain type of penguin has a circular cross-section approximately 14 inches in diameter (so that if you looked down on the penguin from above, the shape you would see would be a circle, 14 inches in diameter). Suppose that a group of this type of penguin is huddling in a large circular cluster, about 20 feet in diameter. (All the penguins are still standing upright on the ground; they are not piled on top of each other.) Cundefined a. Assuming that the penguins are packed together tightly, estimate how many penguins are in this cluster. (You might use areas to do this.) Is this an overestimate or an underestimate? Explain. b. The coldest penguins in the cluster are the ones around the circumference. Approximately how many of these cold penguins are there at any given time? Explain. c. So that no penguin gets too cold, the penguins take turns being at the circumference. How many minutes per hour does each penguin spend at the circumference if each penguin spends the same amount of time at the circumference? Explain