Question

What is the area of the circle? (Round your answer to one decimal place)
line in circle 9in
92.7
375.3
254.5
122.6

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. The problem states that the diameter of the circle is 9 inches. To find the radius, you divide the diameter by 2:

\[
r = \frac{9 \, \text{in}}{2} = 4.5 \, \text{in}
\]

Now, substitute the radius into the area formula:

\[
\text{Area} = \pi (4.5)^2
\]

Calculating \( (4.5)^2 \):

\[
(4.5)^2 = 20.25
\]

Now, substituting back:

\[
\text{Area} = \pi \times 20.25
\]

Using \( \pi \approx 3.14159 \):

\[
\text{Area} \approx 3.14159 \times 20.25 \approx 63.617
\]

Rounding to one decimal place, the area of the circle is approximately:

\[
\text{Area} \approx 63.6
\]

None of the options provided (92.7, 375.3, 254.5, 122.6) match the calculated area of 63.6. Please double-check the diameter or give further context if needed.