What is the area of a circle with a radius of 2.1 miles? Estimate the area to the hundredths place using 3.14 for π

π
.(1 point)
square miles

1 answer

To find the area of a circle, you can use the formula:

\[ \text{Area} = \pi r^2 \]

where \( r \) is the radius of the circle.

Given that the radius \( r = 2.1 \) miles and using \( \pi \approx 3.14 \):

\[ \text{Area} = 3.14 \times (2.1)^2 \]

First, calculate \( (2.1)^2 \):

\[ (2.1)^2 = 4.41 \]

Now, substitute this value into the area formula:

\[ \text{Area} = 3.14 \times 4.41 \approx 13.8514 \]

Now, rounding this to the hundredths place:

\[ \text{Area} \approx 13.85 \text{ square miles} \]

Thus, the area of the circle is approximately 13.85 square miles.

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