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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

3 answers

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

\[ A = \pi r^2 \]

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

\[ A = 3.14 \times (2.1)^2 \]

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

\[ (2.1)^2 = 4.41 \]

Now, substitute this value back into the area formula:

\[ A = 3.14 \times 4.41 \]

Now perform the multiplication:

\[ A \approx 3.14 \times 4.41 = 13.8384 \]

Rounding to the hundredths place, the area is approximately:

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

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

wrong

Let’s recalculate the area of the circle step-by-step.

Given:

  • Radius \( r = 2.1 \) miles
  • \( \pi \approx 3.14 \)

The area \( A \) of a circle is calculated using the formula:

\[ A = \pi r^2 \]

  1. First, calculate \( r^2 \):

\[ r^2 = (2.1)^2 = 4.41 \]

  1. Now plug that back into the area formula:

\[ A = 3.14 \times 4.41 \]

  1. Performing the multiplication:

\[ 3.14 \times 4.41 = 13.8384 \]

  1. Rounding this to the hundredths place gives us:

\[ A \approx 13.84 \]

So the area of the circle is 13.84 square miles.

If there was a mistake earlier in my response or if you used a different method, please let me know, and I can assist further!