## Biggest Pizza Slice

An 8-inch pizza is cut into $3$ equal slices. A 10-inch pizza is cut into $4$ equal slices. A 12-inch pizza is cut into $6$ equal slices. A 14-inch pizza is cut into $8$ equal slices. From which pizza would you take a slice if you want as much pizza as possible?
Source: NCTM Mathematics Teacher, September 2006

Solution
Areas of pizza slices
8-inch: $\dfrac{\pi\times 4^2}{3}=\dfrac{\pi\times 16}{3}=\dfrac{\pi\times 128}{24}$
10-inch: $\dfrac{\pi\times 5^2}{4}=\dfrac{\pi\times 25}{4}=\dfrac{\pi\times 150}{24}$
12-inch: $\dfrac{\pi\times 6^2}{6}=\dfrac{\pi\times 6^2}{6}=\dfrac{\pi\times 144}{24}$
14-inch: $\dfrac{\pi\times 7^2}{8}=\dfrac{\pi\times 49}{8}=\dfrac{\pi\times 147}{24}$
Since $\dfrac{150}{24}$ is the largest fraction, you want to take a slice from the 10-inch pizza.