Answer:
The circumference of circle is 8π ft.
Step-by-step explanation:
Given that the formula of area of a circle is A = π×r² where r represents the radius of circle. So you have to find the radius first :
[tex]area = \pi \times {r}^{2} [/tex]
[tex]let \: area = 16\pi[/tex]
[tex]\pi {r}^{2} = 16\pi[/tex]
[tex] {r}^{2} = 16[/tex]
[tex]r = \sqrt{16} [/tex]
[tex]r = 4 \: feet[/tex]
Next, you have to apply circumference of circle formula, C = 2×π×r :
[tex]c = 2 \times \pi \times r[/tex]
[tex]let \: r = 4[/tex]
[tex]c = 2 \times \pi \times 4[/tex]
[tex]c = 8\pi \: feet[/tex]
