Answer:
113 square feet
Step-by-step explanation:
Given
[tex]d = 24[/tex] --- diameter
See attachment for complete question
Required
Determine the area of each color
First, we calculate the area of all colors
[tex]Area = \frac{\pi d^2}{4}[/tex]
This gives:
[tex]Area = \frac{22 * 24^2}{7*4}[/tex]
[tex]Area = \frac{12672}{28}[/tex]
[tex]Area = 452.57[/tex]
Since all 4 colors have equal areas, the area of 1 of them is:
[tex]A = \frac{1}{4}Area[/tex]
[tex]A = \frac{1}{4} * 452.57[/tex]
[tex]A = 113.14ft^2[/tex]
[tex]A = 113ft^2[/tex] --- approximated
