Answer:
I. 94.99 in²
II. $0.23
Step-by-step explanation:
Given the following data;
Diameter of wheel = 11 inches
[tex] \pi = 3.14[/tex]
Cost of wheel = $21.35
[tex] Radius, r = \frac {diameter}{2} [/tex]
[tex] Radius, r = \frac {11}{2} = 5.5 \; inches [/tex]
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;
[tex] Area, A = \pi r^{2} [/tex]
Substituting into the equation, we have;
[tex] Area, A = 3.14 * 5.5^{2} [/tex]
[tex] Area, A = 3.14*30.25[/tex]
Area, A = 94.99 in²
Part B
To find cost per square inch;
[tex] Cost \; per \; square \; inch = \frac {Cost \; per \; wheel}{Area \; of \; wheel} [/tex]
[tex] Cost \; per \; square \; inch = \frac {21.35}{94.99} [/tex]
Cost per square inch = $0.23