Question

the 1 - inch diameter pizza bite for $1 or the 10 - inch diameter pizza for $10.

Explanation:

Step1: Calculate area of 1 - inch diameter pizza bite

Radius $r_1=\frac{1}{2}$ inch. Area formula for a circle is $A = \pi r^{2}$. So $A_1=\pi(\frac{1}{2})^{2}=\frac{\pi}{4}$ square - inches. Cost per square - inch $C_1=\frac{1}{\frac{\pi}{4}}=\frac{4}{\pi}\approx1.27$ dollars per square - inch.

Step2: Calculate area of 10 - inch diameter pizza

Radius $r_2 = 5$ inches. Area $A_2=\pi r_2^{2}=\pi\times5^{2}=25\pi$ square - inches. Cost per square - inch $C_2=\frac{10}{25\pi}=\frac{2}{5\pi}\approx0.13$ dollars per square - inch.

Step3: Compare cost per square - inch

Since $C_2\lt C_1$, the 10 - inch diameter pizza for $10 is a better deal.

Answer:

The 10 - inch diameter pizza for $10 is a better deal.