Respuesta :
Answer:
C≈27 feet
Step-by-step explanation:
A=πr²
A/π=r²
√A/π =r or –√A/π=r (refused)
then r =√(A/π) =√(58/π) =4.297829403 feet
C=2πr=2π(4.297829403)=27.00405856≈27 feet
Answer:
Circumference of required circle = 27.0021 feet.
Solution:
Given that area of circle = 58 square feet
We need to find the circumference
Circumference of circle = [tex]2\pi r[/tex] where r is radius.
We don’t have radius in given information but we do have area of circle.
So first need to calculate radius of a circle from given area.
[tex]Area of circle = \pi r^{2}[/tex]
where “r” is radius of circle.
[tex]58=\pi r^{2}[/tex]
[tex]r^2= (58 \times 7)/22=18.4545[/tex]
So we get
r = square root of 18.4545 = 4.2958 feet
Circumference of circle = [tex]2 \mathrm{\pi r}[/tex]
= 2 [tex](\frac{22}{7})[/tex] (4.2958) = 27.0021 feet.
Hence circumference of required circle = 27.0021 feet.