The math class decides to go to Zorbaz to take their exams a

The math class decides to go to Zorbaz to take their exams and eat at the same time. The larges have diameter of 16\" and have 16 slices per pizza which means the pizza is sliced into 22.5 degree sections. Mediums have a diameter of 13\" and have 12 slices per pizza which means they have been cut into 30 degree sections. Garret eats 10 pieces of a large and Ben eats 11 pieces of a medium. Of course they have to argue about who ate more. Who actually ate the most square inches of pizza and how much more did they eat. The equation for area of a sector of a circle is A = 1/2 r^2 theta

Solution

22.5 deg = 0.39 rad ; 30 deg = 0.52 rad

Area of sector = (1/2)*(radius)^2(angle)

Garret eats 10 pieces of Large = 10*(1/2)(16/2)^2*0.39

= 124.8 sqinch

Ben eats 11 pieces of Mediums = 11(1/2)(13/2)^2(0.52)

= 120.835 sqinch

So, we can see Garret ate more pizzas