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 check answer remaining attempts : 3

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \), where \( r \) is the radius of the circle.

Step2: Substitute the given values into the formula

We are given that \( r = 2.1 \) miles and \( \pi=3.14 \). First, we need to calculate \( r^{2} \), which is \( (2.1)^{2} \).
\( (2.1)^{2}=2.1\times2.1 = 4.41 \)
Then, we multiply this result by \( \pi \) (3.14):
\( A=3.14\times4.41 \)

Step3: Perform the multiplication

\( 3.14\times4.41 = 13.8474 \)

Step4: Round to the hundredths place

To round 13.8474 to the hundredths place, we look at the thousandths digit, which is 7. Since \( 7\geq5 \), we round up the hundredths digit.
So, \( 13.8474\approx13.85 \)

Answer:

13.85