Question

workers on a factory floor are painting one side of circular discs that will be placed on an assembly line. for every gallon of paint, a worker can paint an area of 1,728 square feet. if a circular disc has a radius of 2 feet, how many discs can they paint with one gallon of paint? use 3.14 for π. enter the correct answer in the box.

Explanation:

Step1: Calculate area of 1 disc

The area of a circle is $A = \pi r^2$. Substitute $r=2$, $\pi=3.14$:
$A = 3.14 \times 2^2 = 3.14 \times 4 = 12.56$ square feet

Step2: Divide total paint area by disc area

Total paintable area is 1200 sq ft. Number of discs = $\frac{\text{Total Area}}{\text{Area per disc}}$:
$\frac{1200}{12.56} \approx 95.54$
Since partial discs can't be painted, we take the whole number.

Answer:

95 discs