The fence around a circular garden is 18 feet long. What is the area of the garden to thenearest square foot? Use 3.14 for pi.Type the answer in the box.square feet

The fence around a circular garden is 18 feet long What is the area of the garden to thenearest square foot Use 314 for piType the answer in the boxsquare feet class=

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We will determine the area of the circular garden as follows:

*First: We obtain values by solving for the circumference of a cicle, that is:

[tex]C=2\pi r\Rightarrow18=2\pi r[/tex]

Now, we solve for the radius:

[tex]\Rightarrow r=\frac{9}{\pi}[/tex]

*Second: We determine the area of the cirular garden:

[tex]A=\pi r^2\Rightarrow A=(3.14)(\frac{9}{3.14})^2[/tex][tex]\Rightarrow A=25.79617834\Rightarrow A\approx26[/tex]

So, the area of the circular garden is approximately 26 square feet.

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