Answer :
[tex]A = 452.16 \: {ft}^{2}[/tex]
step-by-step explanation:
From the question,
the diameter:
[tex]d = 24 \: ft[/tex]
The radius :
[tex]r = \frac{diameter}{2}= \frac{24}{2}=12 \: ft[/tex]
[tex]\pi = 3.14[/tex]
Area of a circle is given as
[tex]A = \pi {r}^{2} [/tex]
By substitution,
[tex]A = 3.14( {12}^{2} )[/tex]
[tex]\implies \: A = 3.14 \times 144[/tex]
[tex]\implies \: A = 452.16 \: {ft}^{2} [/tex]
Hence the area of the home is
[tex]A = 452.16 \: {ft}^{2}[/tex]
