If Luis had a smaller pizza with a diameter of 5 inches, and Marty ate a larger pizza with a diameter of 15 inches, Marty would eat more than Luis.
First, we can find the areas of the pizzas.
Luis's:
\(\sf~A=\pi\!\!~r^2\)
Plug in what we know and simplify:
\(\sf~A=(3.14)(5)^2\)
\(\sf~A=(3.14)(25)\)
\(\sf~A=(78.5)\)
Divide by 6 to see how big each slice is.
\(\sf78.5\div6\approx13.08\)
Multiply by 5 to find out how much pizza Luis ate total:
\(\sf13.08\times5=65.4\)
So Luis ate approximately 65.4 square inches of pizza.
Now let's find out how much Marty ate.
\(\sf~A=\pi\!\!~r^2\)
Plug in what we know and simplify:
\(\sf~A=(3.14)(15)^2\)
\(\sf~A=(3.14)(225)\)
\(\sf~A=(706.5)\)
Divide by 6 to see how big each slice is.
\(\sf78.5\div6=117.75\)
Multiply by 5 to find out how much pizza Marty ate total:
\(\sf117.75\times5=588.75\)
So Marty ate 588.75 square inches of pizza, which is more than what Luis ate, 65.4 square inches.
