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

Question

.(1 point)
square miles
Remaining Attempts : 3

Answer 1

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.

Answer 2

wrong

Answer 3

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 $r^2$:

$$r^2=(2.1{)}^2=4.41$$

2. Now plug that back into the area formula:

$$A=3.14\times 4.41$$

3. Performing the multiplication:

$$3.14\times 4.41=13.8384$$

4. 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!