Question

The diameter of a circle is 34 inches. What is the circle's area?
d=34 in
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
square inches

Answer 1

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

\[
A = \pi r^2
\]

where \( A \) is the area and \( r \) is the radius of the circle. The radius is half of the diameter.

Given that the diameter \( d = 34 \) inches, the radius \( r \) is:

\[
r = \frac{d}{2} = \frac{34}{2} = 17 \text{ inches}
\]

Now, substitute the radius into the area formula:

\[
A = \pi r^2 = \pi (17)^2 = \pi (289)
\]

Using \( \pi \approx 3.14 \):

\[
A \approx 3.14 \times 289
\]

Now calculate that:

\[
A \approx 3.14 \times 289 = 907.06
\]

Thus, the area of the circle, rounded to the nearest hundredth, is:

\[
\boxed{907.06} \text{ square inches}
\]