A 12''-diameter pizza and a 16''-diameter pizza are each cut into eight congruent slices. Jane ate three slices of the 12'' pizza. Mark ate four slices of the 16'' pizza. How many more square inches of pizza did Mark eat than Jane? Express your answer as a common fraction in terms of pi.
A 12''-diameter pizza and a 16''-diameter pizza are each cut into eight congruent slices. Jane ate three slices of the 12'' pizza. Mark ate four slices of the 16'' pizza. How many more square inches of pizza did Mark eat than Jane? Express your answer as a common fraction in terms of pi.
Area of the 12" pizza = πr2 = π • 62 = 36π Jane ate 3/8 of this, which would be 13.5π
Area of the 16" pizza = πr2 = π • 82 = 64π Mark ate 4/8 of this, which would be 32π
Mark ate 32π – 13.5π = 18.5π more square inches than Jane ate
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