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Answer :
To find the area of a circle when the radius is given, we can use the formula for the area of a circle:
[tex]\[ \text{Area} = \pi \times r^2 \][/tex]
where [tex]\(\pi\)[/tex] is approximately 3.14, and [tex]\(r\)[/tex] is the radius of the circle.
Let's go through the steps to solve this problem:
1. Identify the radius: The radius of the circle is given as 36.6 miles.
2. Use the formula for the area:
[tex]\[ \text{Area} = 3.14 \times (36.6)^2 \][/tex]
3. Calculate [tex]\(r^2\)[/tex]:
[tex]\[ (36.6)^2 = 1339.56 \][/tex]
4. Multiply [tex]\(r^2\)[/tex] by [tex]\(\pi\)[/tex]:
[tex]\[ \text{Area} = 3.14 \times 1339.56 = 4206.2184 \][/tex]
5. Round the area to the nearest hundredth: The area of the circle, rounded to the nearest hundredth, is 4206.22 square miles.
So, the circle's area is approximately [tex]\(4206.22\)[/tex] square miles.
[tex]\[ \text{Area} = \pi \times r^2 \][/tex]
where [tex]\(\pi\)[/tex] is approximately 3.14, and [tex]\(r\)[/tex] is the radius of the circle.
Let's go through the steps to solve this problem:
1. Identify the radius: The radius of the circle is given as 36.6 miles.
2. Use the formula for the area:
[tex]\[ \text{Area} = 3.14 \times (36.6)^2 \][/tex]
3. Calculate [tex]\(r^2\)[/tex]:
[tex]\[ (36.6)^2 = 1339.56 \][/tex]
4. Multiply [tex]\(r^2\)[/tex] by [tex]\(\pi\)[/tex]:
[tex]\[ \text{Area} = 3.14 \times 1339.56 = 4206.2184 \][/tex]
5. Round the area to the nearest hundredth: The area of the circle, rounded to the nearest hundredth, is 4206.22 square miles.
So, the circle's area is approximately [tex]\(4206.22\)[/tex] square miles.
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