A \(12^{\prime \prime}\)-diameter pizza and a \(16^{\prime \prime} \) -diameter pizza are each cut into eight congruent slices. Jane ate three slices of the \(12^{\prime \prime}\) pizza. Mark ate three slices of the \(16^{\prime \prime} \) pizza. How many more square inches of pizza did Mark eat than Jane? Express your answer as a common fraction in terms of \(\pi\).

shreyas1
Oct 15, 2018

#1**+2 **

Tell me if this is correct!

10 1/2 pi. Just tell me if it's correct, then I'll provide a solution.

tertre
Oct 15, 2018

#2**+1 **

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 !!!!

CPhill
Oct 15, 2018