4. Greater Boston can be approximated by a semicircle of radius 12 miles with its center on the coast. Moving away from the center along a radius, the population density

is constant for the first 3 miles. Beyond that the density begins to decrease according to the data given in the table, where p(r) is the population density(measured in thousands of people per square mile) at a distance r miles from the center. A. Draw a picture of the city and indicating how you would“slice" the city in order to approximate the population. B. What is the Area of each slice? C. How many slices? (The value of n) D. Using Riemann sums, estimate the population living in the Greater Boston Area. Write your final answer in a sentence, include units.