Asked by Devin
When the waiter was asked to slice the 16-inch (in diameter) pizza into exactly 4 slices of equal size, he decided to do so using concentric circles rather than radial slices. Determine the radii of each of the three cuts he had to make.
Answers
Answered by
tchrwill
By equal size I assume you mean equal area. The total pie area is 3.14(8^2) = 201.06 sq.in. Each piece must therefore be 50.265 sq.in. in area.
The central piece is a circle with area = 50.265 = 3.14(r1)^2 making r1 = 4 in.
The next piece is a circular ring of r2 outer radius and r1 inner radius and area = 50.265 = 3.14(r2^2 - r1^2) making r2 = 5.656 in.
The next piece is a circular ring of r3 outer radius and r2 inner radius and area = 50.265 = 3.14(r3^2 - r^2) making r3 = ? Your turn.
The person getting the outer ring is cheated out of some cheese.
The central piece is a circle with area = 50.265 = 3.14(r1)^2 making r1 = 4 in.
The next piece is a circular ring of r2 outer radius and r1 inner radius and area = 50.265 = 3.14(r2^2 - r1^2) making r2 = 5.656 in.
The next piece is a circular ring of r3 outer radius and r2 inner radius and area = 50.265 = 3.14(r3^2 - r^2) making r3 = ? Your turn.
The person getting the outer ring is cheated out of some cheese.
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