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

π
.(1 point)
square miles

Answer 1

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

$$\text{Area}=\pi r^2$$

where $r$ is the radius of the circle.

Given that the radius $r=2.1$ miles and using $\pi \approx 3.14$:

$$\text{Area}=3.14\times (2.1{)}^2$$

First, calculate $(2.1{)}^2$:

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

Now, substitute this value into the area formula:

$$\text{Area}=3.14\times 4.41\approx 13.8514$$

Now, rounding this to the hundredths place:

$$\text{Area}\approx 13.85\text{ square miles}$$

Thus, the area of the circle is approximately 13.85 square miles.