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

Answer 1

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

\[ A = \pi r^2 \]

where \( A \) is the area and \( r \) is the radius.

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

1. First, calculate \( r^2 \): \[ r^2 = (2.1)^2 = 4.41 \]

2. Now, substitute \( r^2 \) into the area formula: \[ A = 3.14 \times 4.41 \]

3. Performing the multiplication: \[ A \approx 3.14 \times 4.41 = 13.8514 \]

4. Finally, round to the hundredths place: \[ A \approx 13.85 \]

Thus, the estimated area of the circle is \( \text{approximately } 13.85 \) square miles.