Question

a bakery sells apple pies for $12.85. if the pie has a diameter of 10 inches, what is the approximate cost per square inch of the apple pie? round to the nearest hundredth.
$0.04
$0.16
$0.32
$0.65

Explanation:

Step1: Find radius from diameter

The radius $r$ is half the diameter:
$r = \frac{10}{2} = 5$ inches

Step2: Calculate area of the pie

Use the circle area formula $A = \pi r^2$:
$A = \pi (5)^2 = 25\pi \approx 78.54$ square inches

Step3: Compute cost per square inch

Divide total cost by area:
$\text{Cost per square inch} = \frac{12.85}{78.54} \approx 0.16$

Answer:

$0.16$