Question

Estimate Values of Expressions with Pi Practice
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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
.

Answer 1

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

\[
A = \pi r^2
\]

where \( r \) is the radius of the circle. In this case, the radius is 2.1 miles. 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 plug this back into the area formula:

\[
A = 3.14 \times 4.41
\]

Now calculate \( 3.14 \times 4.41 \):

\[
3.14 \times 4.41 \approx 13.8384
\]

Rounding this to the hundredths place, the estimated area of the circle is:

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