Question

determine (a) the area and (b) the circumference of the circle

a. the area of the circle is
(type an integer or decimal rounded to the nearest hundredth as needed )

Explanation:

Step1: Identify the radius

The diameter $d = 25$ ft, so the radius $r=\frac{d}{2}=\frac{25}{2}=12.5$ ft.

Step2: Calculate the area

The formula for the area of a circle is $A = \pi r^{2}$. Substitute $r = 12.5$ into the formula: $A=\pi\times(12.5)^{2}=\pi\times156.25\approx 490.87$ square - feet.

Step3: Calculate the circumference

The formula for the circumference of a circle is $C = 2\pi r$. Substitute $r = 12.5$ into the formula: $C = 2\pi\times12.5=25\pi\approx 78.54$ feet.

Answer:

a. $490.87$ square feet
b. $78.54$ feet