Answer:
Cost per square inch of the pie is 11 cent .
Step-by-step explanation:
Formula
[tex]Area\ of\ a\ circle = \pi r^{2}[/tex]
Where r is the radius of a circle .
As given
A pumpkin pie cost $12.55 at Bobby's Bakery.
lf the pie has a diameter of 12 inches .
[tex]Radius = \frac{Diameter}{2}[/tex]
[tex]Radius = \frac{12}{2}[/tex]
Radius = 6 inches
Put all the values in the formula
[tex]Area\ of\ a\ circle =3.14\times 6\times 6[/tex]
= 113.04 inches²
Thus
[tex]Cost\ per\ square\ inch\ of\ the\ pie = \frac{Cost\ of \a \ pumpkin\ pie}{Total\ area\ of\ a\ pumpkin}[/tex]
Put all the values in the above
[tex]Cost\ per\ square\ inch\ of\ the\ pie = \frac{12.55}{113.04}[/tex]
[tex]Cost\ per\ square\ inch\ of\ the\ pie =\$ 0.11\ (Approx)[/tex]
As
1 dollar = 100 cent
0.11 dollar = 0.11 × 100
= 11 cent
Therefore the cost per square inch of the pie is 11 cent .
