Question

A pizza restaurant has a tradition of creating specialty pizzas all of the same thickness, and in the shape of the perfect circle it also divides them up into exactly equal slices even if the number of slices per pizza is sometimes unusual. It sells small medium ,large and extra large pizzas. The diameter are 8,11,13 and 15 inches respectively they are each divided into 4,9,12, and 13 slices respectively. Which pizza has the largest slice?

Answer 1

Answer:

Extra large pizza has the largest slice

Step-by-step explanation:

Diameter of small pizza = 8 inch

No. of slices = 4

Area of the small pizza = $\frac{\pi}{4}\times 8^2=16\pi$ inch²

Area of each pizza = 16π/4 = 4π inch²

Diameter of medium pizza = 11 inch

No. of slices = 9

Area of the medium pizza = $\frac{\pi}{4}\times 11^2=\frac{121\pi}{4}=30.25\pi$ inch²

Area of each pizza = 30.25π/9 = 3.361π inch²

Diameter of large pizza = 13 inch

No. of slices = 12

Area of the large pizza = $\frac{\pi}{4}\times 13^2=\frac{169\pi}{4}=40.25\pi$ inch²

Area of each pizza = 40.25π/12 = 3.52π inch²

Diameter of extra large pizza = 15 inch

No. of slices = 13

Area of the extra large pizza = $\frac{\pi}{4}\times 15^2=\frac{225\pi}{4}=56.25\pi$ inch²

Area of each pizza = 56.25π/13 = 4.33π inch²

∵ The area of each slice of extra large pizza is greatest

∴ Extra large pizza has the largest slice.

Hope the answer is helpful.