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

The math class decides to go to Zebras 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 22.5degree sections. Mediums have a diameter of 13\" and have 12 slices per pizza which means they have been cut into 30degree sections. Suppose Tyler eats 10 pieces of a large and Cassie eats 11 pieces of a medium. Who at 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^2theta (theta = radians)

Solution

tyler ate 10 pieces of large pizza

area of one piece = A = 1/ 2 r^2 theta

r = 16/2 = 8 inches

theta = 22.5 degrees = .3927

A = 1/2 (8)^2 * .3927 = 12.566

therefore, tyler ate 10*12.566 = 125.66 square inches

cassie ate 11 pieces

Area of 1 piece = 1/2 (13/2)^2 *.5236 = 11.06

cassie ate = 11*11.06 = 121.67 square inches

therefore , tyler ate more square inches of pizza