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

Answer 1

To calculate 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 find the area as follows:

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

2. Multiply by \( \pi \): \[ \text{Area} = 3.14 \times 4.41 \]

Now, calculate \( 3.14 \times 4.41 \): \[ 3.14 \times 4.41 \approx 13.8384 \]

Rounding to the hundredths place, the area of the circle is approximately:

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

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

Answer 2

wrong

Answer 3

Let's recalculate the area of the circle step-by-step using the formula \( \text{Area} = \pi r^2 \), with \( \pi \approx 3.14 \) and \( r = 2.1 \) miles.

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

2. Multiply by \(\pi\): \[ \text{Area} = 3.14 \times 4.41 \]

Now let's do the multiplication:

\[ 3.14 \times 4.41 = 13.8384 \]

3. Round to the hundredths place: Rounding 13.8384 to the hundredths place gives you: \[ \text{Area} \approx 13.84 \]

So the correct area of the circle with a radius of 2.1 miles, estimated to the hundredths place using \( \pi \approx 3.14 \), is indeed 13.84 square miles.

If there's a specific aspect of the calculation you'd like to address or if you have a different method or value in mind, please let me know!