Question

The radius of a circle is 13 centimeters. What is the circle's area?
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
square centimeters

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.

Given a radius \( r = 13 \) centimeters and using \( \pi \approx 3.14 \):

\[
A \approx 3.14 \times (13)^2
\]

Calculating \( 13^2 \):

\[
13^2 = 169
\]

Now substituting back into the area formula:

\[
A \approx 3.14 \times 169
\]

Next, multiply \( 3.14 \) by \( 169 \):

\[
A \approx 530.26
\]

Rounding to the nearest hundredth, the area of the circle is approximately:

\[
\boxed{530.26} \text{ square centimeters}
\]