The diameter of a circle is 5 ft. Find its area to the nearest tenth.

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. Since the diameter is given as 5 ft, the radius \( r \) is half of the diameter:

\[ r = \frac{\text{Diameter}}{2} = \frac{5 \text{ ft}}{2} = 2.5 \text{ ft} \]

Now, substitute the radius into the area formula:

\[ \text{Area} = \pi (2.5)^2 = \pi (6.25) = 6.25\pi \]

Using \( \pi \approx 3.14 \):

\[ \text{Area} \approx 6.25 \times 3.14 \approx 19.625 \text{ ft}^2 \]

To the nearest tenth, the area of the circle is:

\[ \text{Area} \approx 19.6 \text{ ft}^2 \]

So, the area of the circle is approximately 19.6 ft².