The diameter of a circle is 10 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 10 ft, the radius will be:

\[ r = \frac{10}{2} = 5 \text{ ft} \]

Now, plug the radius into the area formula:

\[ \text{Area} = \pi (5)^2 = \pi \times 25 \]

Now, using \( \pi \approx 3.14 \):

\[ \text{Area} \approx 3.14 \times 25 = 78.5 \]

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

\[ \text{Area} \approx 79 \text{ ft}^2 \]

So, the area of the circle is approximately 79 ft².