Question

question
the diameter of a circle is 6 ft. find its area in terms of \\( \pi \\).
answer attempt 2 out of 2
\\( a= \\) \\( \mathrm{ft}^{2} \\)

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 6\) ft, so \( r=\frac{d}{2}=\frac{6}{2}=3\) ft.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 3 \) into the formula: \( A=\pi\times(3)^{2}=\pi\times9 = 9\pi\) \(ft^{2}\).

Answer:

\(9\pi\)