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 three 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 π.
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10 1/2 pi. Just tell me if it's correct, then I'll provide a solution.
Area of 3 slices of 12 in diameter = 6 in radius pizza =
(3/8) pi (6)^2 (1)
Area of 3 slices of 16 in = 8 in radius pizza =
(3/8) pi (8)^2 (2)
(2) - (1) =
(3/8) pi [ 8^2 - 6^2 ] =
(3/8) pi [ 64 - 36 ] =
(3/8) pi [ 28] =
(3 * 28 ) / 8 pi =
[ 3 * 7 ) / 2 pi =
(21/2) pi in^2
Your answer is the same !!!!