The diameter of a circle is 41 ft. Find its area to the nearest whole number.

1 answer

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 radius is half of the diameter. Given that the diameter is 41 ft, we can calculate the radius as follows:

\[ r = \frac{\text{diameter}}{2} = \frac{41 \text{ ft}}{2} = 20.5 \text{ ft} \]

Now, we can substitute the radius into the area formula:

\[ \text{Area} = \pi (20.5)^2 \] \[ = \pi \times 420.25 \] \[ \approx 3.14159 \times 420.25 \approx 1318.69 \text{ ft}^2 \]

Rounding to the nearest whole number, the area of the circle is approximately:

\[ \boxed{1319} \text{ ft}^2 \]