A quiche with a diameter of 12 inches can feed 6 people. can a quiche with a diameter of 10 inches feed 4 people, assuming the same serving size explain your thinking

This is an area problem where the area of a circle is pi*r^2.

A quiche with a diameter of 12 has an area of pi*6^2 = 36pi

So if it can feed 6 people, then the serving size per person is 6pi per person.

A quiche with a diameter of 10 inches has an area of pi*5^2 = 25pi

If each person requires 6pi worth of quiche, then 25pi/6pi = 4 1/6 people.

So yes, it can serve 4 people.