Question

find the area of each (use 3.14 for \\(\pi\\).)

1)
a circle with a diameter of 20 ft.

Explanation:

Identify the given values

The image shows a circle with a diameter \(d = 20\text{ ft}\). We are asked to find its area using \(\pi \approx 3.14\).

Find the radius of the circle

The radius \(r\) is half of the diameter \(d\).

$$ r = \frac{d}{2} = \frac{20\text{ ft}}{2} = 10\text{ ft} $$

State the area formula

The formula for the area \(A\) of a circle is:

$$ A = \pi r^2 $$

Calculate the area

Substitute \(r = 10\text{ ft}\) and \(\pi \approx 3.14\) into the formula:

$$ A \approx 3.14 \times (10\text{ ft})^2 $$

$$ A \approx 3.14 \times 100\text{ ft}^2 = 314\text{ ft}^2 $$

Answer:

\(314\text{ ft}^2\)