Question

the diameter of a circle is 14 feet. what is the area?
give the exact answer in simplest form.
square feet

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 14\) ft, so \( r=\frac{d}{2}=\frac{14}{2}=7\) ft.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2}\). Substitute \( r = 7\) into the formula: \( A=\pi\times(7)^{2}=\pi\times49 = 49\pi\) square feet.

Answer:

\(49\pi\)