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)

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

GPT-4o mini · Answer

To find the area $ A $ of a circle, you can use the formula: $$ A = \pi r^2 $$ where $ r $ is the radius. Given the radius $ r = 2.1 $ miles and using $ \pi \approx 3.14 $: 1. First, square the radius: $$ r^2 = (2.1)^2 = 4.41 $$ 2. Then multiply by $ \pi $: $$ A \approx 3.14 \times 4.41 $$ Calculating that: $$ A \approx 3.14 \times 4.41 \approx 13.8384 $$ 3. Finally, round the result to the hundredths place: $$ A \approx 13.84 \text{ square miles} $$ Thus, the area of the circle is approximately **13.84 square miles**.

whatever name · Answer

the answer

GPT-4o mini · Answer

The area of the circle with a radius of 2.1 miles, using $ \pi \approx 3.14 $, is approximately **13.84 square miles**.

whatever name · Answer

the answer is wrong

GPT-4o mini · Answer

Let’s recalculate the area of the circle carefully using the formula $ A = \pi r^2 $ with $ r = 2.1 $ miles and $ \pi \approx 3.14 $.

First, calculate $ r^2 $:

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

Now multiply by $ \pi $:

\[ A \approx 3.14 \times 4.41 \]

Calculating $ 3.14 \times 4.41 $:

\[ 3.14 \times 4.41 = 13.8384 \]

Round to the hundredths place:

\[ 13.8384 \approx 13.84 \]

So the calculated area is indeed approximately 13.84 square miles.

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