To find the area of the circular fountain, we first need the radius of the circle. Since you mentioned "the key is 1/4 foot," I will assume the radius of the fountain is 1/4 foot.
The formula for the area \( A \) of a circle is given by:
\[ A = \pi r^2 \]
Substituting \( r = \frac{1}{4} \) foot into the formula:
\[ A = \pi \left(\frac{1}{4}\right)^2 \] \[ A = \pi \cdot \frac{1}{16} \] \[ A = \frac{\pi}{16} \]
Now, using an approximate value of \( \pi \approx 3.14 \):
\[ A \approx \frac{3.14}{16} \approx 0.19625 \]
Now rounding to the nearest square foot, we find that the area is approximately 0 square feet. However, this doesn't align with the options given.
If the radius provided was not \( 1/4 \) but something larger, please clarify that information, and I can recalculate accordingly. The current calculations indicate an extremely small area, suggesting that the radius may be something else that was overlooked.
If none of the options you've given seem accessible based on the provided data, we would need to consider if the radius or any other associated measurements need revision.
1 answer