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Answer:

The area of the quartered circle is 7.07 miles²

Step-by-step explanation:

First, we must know the formula for finding the area of the circle.

[tex]Area=r^2\pi[/tex]

Since we have to find the area of the quartered circle, then we will multiply a fourth to the formula.

[tex]Area=\frac{1}{4}(r^2\pi)[/tex]

Now, let's plug in our radius and solve for the area. The radius of the quartered circle is 3.

[tex]Area=\frac{1}{4}((3)^2\pi)[/tex]

[tex]Area=\frac{1}{4}(9\pi)[/tex]

[tex]Area=\frac{1}{4}(28.26)[/tex]

[tex]Area=7.065[/tex]

Now, we have to round this answer to the nearest hundredth.

So, the area of the quartered circle is 7.07 miles²

Hi1315

Answer:

[tex] = 7.065 \: \: {miles}^{2} \\ [/tex]

Step-by-step explanation:

[tex]area \\ = \frac{theta}{360} \times \pi{r}^{2} \\ = \frac{90}{360} \times \pi {r}^{2} \\ = \frac{1}{4} \times 3.14 \times 3 \times 3 \\ = \frac{28.26}{4} \\ = 7.065 \: \: {miles}^{2} [/tex]

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