Question

a fish pond is shaped like a circle with a diameter of 40 ft.
what is the area of the fish pond?
choose one option from each drop - down menu to answer the question.
the radius of the fish pond is choose
the area of a circle equals choose multiplied by π.
therefore, the area of the fish choose

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 40\) ft, so \(r=\frac{d}{2}=\frac{40}{2}=20\) ft.

Step2: Recall the area formula

The area formula of a circle is \(A=\pi r^{2}\). Substituting \(r = 20\) into the formula, we get \(A=\pi\times(20)^{2}\).

Step3: Calculate the area

\((20)^{2}=20\times20 = 400\), so \(A = 400\pi\) square - feet.

Answer:

The radius of the fish - pond is \(20\) ft. The area of a circle equals \(r^{2}\) (where \(r = 20\)) multiplied by \(\pi\). Therefore, the area of the fish - pond is \(400\pi\) \(ft^{2}\).