To find the area of a circle, you use the formula:
[tex]\[ \text{Area} = \pi r^2 \][/tex]
where [tex]\( r \)[/tex] is the radius of the circle and [tex]\( \pi \)[/tex] (pi) is a constant approximately equal to 3.14159.
1. You are given the radius [tex]\( r = 4 \)[/tex] feet.
2. Substitute the radius into the formula:
[tex]\[ \text{Area} = \pi (4)^2 \][/tex]
3. Calculate the square of the radius:
[tex]\[ 4^2 = 16 \][/tex]
4. Multiply this result by [tex]\( \pi \)[/tex]:
[tex]\[ \text{Area} = 16\pi \text{ square feet} \][/tex]
So, the correct answer is:
[tex]\[ 16 \pi \text{ square feet} \][/tex]
Thus, among the given options, the correct one is:
[tex]\[ 16 \pi \, \text{ft}^2 \][/tex]
