Would you get more pizza selecting 3 slices of the 12 inch pizza or 2 slices of the 16 inch pizza?
Assume both pizzas are cut into eight slices. 3 slices of the 12
inch pizza make an angle of3 pi/4 and area is 1/2 radius squared
times angle where radius is 6 inch so area = 42.4 sq in
2 slices of the 16 inch pizza make an angle of pi/2 and area is
1/2 radius squared times angle where radius is 8 inch so area =
50.2 sq in so the two 16 inch slices give you more pizza