To find the area of a circle with a radius of 1 foot, we use the formula for the area of a circle, which is:
[tex]\[ \text{Area} = \pi \times r^2 \][/tex]
Here, [tex]\( r \)[/tex] is the radius of the circle. Given that the radius [tex]\( r \)[/tex] is 1 foot, we substitute 1 into the formula for [tex]\( r \)[/tex]:
[tex]\[ \text{Area} = \pi \times 1^2 \][/tex]
Simplifying the expression inside the multiplication:
[tex]\[ \text{Area} = \pi \times 1 \][/tex]
[tex]\[ \text{Area} = \pi \][/tex]
Therefore, the area of a circle with a radius of 1 foot is:
[tex]\[ \pi \, \text{square feet} \][/tex]
In numerical terms, the value of [tex]\( \pi \)[/tex] is approximately 3.141592653589793.
Hence, the area of the circle is approximately:
[tex]\[ 3.141592653589793 \, \text{square feet} \][/tex]
