Please answer this correctly Without making mistakes it’s due today
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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
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]
hope this helps
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