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Sagot :
Answer:
46 gallons
Explanation:
First, we need to calculate the area of the path. This area can be calculated as the difference between the area of the outer circle and the area of the inner circle. The area of a circle is equal to
[tex]A=\pi r^2[/tex]Where r is the radius. For the outer circle, the diameter is 28 yd, so the radius is equal to
radius = diameter/2
radius = 28 yd/2
radius = 14 yd
Then, the area of the outer circle is
[tex]\begin{gathered} A=(3.14)(14\text{ yd\rparen}^2 \\ \text{ A = \lparen3.14\rparen\lparen196 yd}^2) \\ A=615.44\text{ yd}^2 \end{gathered}[/tex]In the same way, the radius of the inner circle is
radius = diameter/2
radius = 18 yd/2
radius = 9 yd
Then, the area is
[tex]\begin{gathered} A=(3.14)(9\text{ yd\rparen}^2 \\ A=(3.14)(81\text{ yd}^2) \\ A=254.34\text{ yd}^2 \end{gathered}[/tex]So, the area of the path is
Area path = 615.44 yd² - 254.34 yd²
Area path = 361.1 yd²
Now, we know that one gallon can cover 8 yd², so we can calculate the number of gallons as
[tex]361.1\text{ yd}^2\times\frac{1\text{ gallon}}{8\text{ yd}^2}=45.14\text{ gallons}[/tex]Therefore, the number of gallons is 46 because we need to round the result to a whole number.
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