Problem Project 22 (Fair Pizza). Three students have ordered a 16-inch pizza. Instead of slicing it in the traditional way, they decide to slice it by parallel cuts, as shown in the figure. Being students O in MTH 133, they are able to determine where to slice so that each gets the same amount of pizza. Where are the cuts made? O - -- 16 inches - - = = = =/Person who gets the Center piece, which I's the shaded part times 4, must get 45 164-32 of whole pill. So shaded art = 1 C of total area 12 3 shaded arrestoftotal 7.3 -2 X= Bsing - 3 dys Reese do 2 = 64/5 # de + [cos2# 10 ]= 64 [ 20 + Sin20] 3 320 + 16sin20 : 328 + 32sines# = 32arcsin/{ )+32/F) (64-27) = 32aresin ($ )+ *164-x215 2 So therefore: Blancsin (*)+ *64-21 2 2 ( 0 ) = 1ki 64aresin ($ )+ 2164-21 = 325 3 - graphed both functions and C 2.119 found intersection point which is C . The cuts should be made going from the center of the pizza to 2.119 inches from the center on both sides, so that each person gets $ of the 91zza