Estimate Values of Expressions with Pi Practice

Question

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Question
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
.(1 point)
square miles
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Answer 1

To find the area \(A\) of a circle, you can use the formula:

\[ A = \pi r^2 \]

Where:

• \(A\) is the area,
• \(\pi\) is approximately 3.14,
• \(r\) is the radius of the circle.

Given that the radius \(r\) is 2.1 miles, we can calculate the area as follows:

1. Square the radius: \[ r^2 = (2.1)^2 = 4.41 \]

2. Multiply by \(\pi\): \[ A = 3.14 \times 4.41 \]

Now, let's perform the multiplication:

\[ 3.14 \times 4.41 \approx 13.8384 \]

Finally, we round this to the hundredths place:

\[ A \approx 13.84 \text{ square miles} \]

So, the estimated area of the circle is 13.84 square miles.