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
Remaining Attempts : 3
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Answer 1

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

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

Given that the radius \( r \) is 2.1 miles, and using \( \pi \approx 3.14 \), you can calculate the area as follows:

1. Calculate \( r^2 \): \[ r^2 = (2.1)^2 = 4.41 \]

2. Now multiply by \( \pi \): \[ \text{Area} \approx 3.14 \times 4.41 \]

   To perform the multiplication: \[ 3.14 \times 4.41 \approx 13.8384 \]

3. Round to the hundredths place: \[ \text{Area} \approx 13.84 \]

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