Question

Corbin is selling cheese at the farmers’ market. One wheel of cheese has a diameter of 11 inches.

Answer 1

Answer:

I. 94.99 in²

II. $0.23

Step-by-step explanation:

Given the following data;

Diameter of wheel = 11 inches

$\pi = 3.14$

Cost of wheel = $21.35

$Radius, r = \frac {diameter}{2}$

$Radius, r = \frac {11}{2} = 5.5 \; inches$

Part A

To find the area;

We know that a wheel is circular in nature. Thus, the area of a circle is given by the formula;

$Area, A = \pi r^{2}$

Substituting into the equation, we have;

$Area, A = 3.14 * 5.5^{2}$

$Area, A = 3.14*30.25$

Area, A = 94.99 in²

Part B

To find cost per square inch;

$Cost \; per \; square \; inch = \frac {Cost \; per \; wheel}{Area \; of \; wheel}$

$Cost \; per \; square \; inch = \frac {21.35}{94.99}$

Cost per square inch = $0.23