Question

#17. You are a landscaper who is working on a circular flower bed with an area approximately 492 f e e t squared, what is the radius of the bed?

Select an Answer
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A
10 feet


B
11.25 feet


C
12.5 feet


D
13.35 feet


E
14.2 feet

Answer 1

To find the radius of a circular flower bed with an area of approximately 492 square feet, we can use the formula for the area of a circle:

\[
A = \pi r^2
\]

Where:
- \( A \) is the area,
- \( r \) is the radius,
- \( \pi \) is approximately 3.14.

We can rearrange the formula to solve for the radius \( r \):

\[
r = \sqrt{\frac{A}{\pi}}
\]

Substituting in the area:

\[
r = \sqrt{\frac{492}{\pi}} \approx \sqrt{\frac{492}{3.14}} \approx \sqrt{156.96} \approx 12.53 \text{ feet}
\]

Now we can match this with the provided options:

A. 10 feet
B. 11.25 feet
C. 12.5 feet
D. 13.35 feet
E. 14.2 feet

The closest option to our calculated value of approximately 12.5 feet is **C. 12.5 feet**.