# trig

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A cashier is unsure whether a group of customers ordered and ate a large or a medium pizza. Medium pizzas have a diameter of 12 inches and large pizzas have a diameter of 16 inches. All that remains is one crust that has an arc length of 4.25 inches. All pizzas are divided into 12 equal slices. What size did the customers order? Explain how you determined your answer.

• trig -

perimeter of 12 inch pizza = πd = 12π
so each of 12 pieces has a arc length of 12π/12 = π

perimenter of 16 inch pizza = 16π
so each of its 12 pieces has an arc length of 16π/12 = (4/3)π

π = 3.14159
(4/3)π = 4.189

mmmmhhhhh?

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