Answer: OPTION D.
Step-by-step explanation:
The formula for calculate the circumference of a circle is:
[tex]C=2r\pi[/tex]
Where r is the radius.
The formula for calculate the area of a circle is:
[tex]A=r^2\pi[/tex]
Where r is the radius.
Solve for r from [tex]A=r^2\pi[/tex] to calculate it:
[tex]r=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{58ft^2}{\pi}}\\r=4.296ft[/tex]
Subsitute the radius into [tex]C=2r\pi[/tex]. Then:
[tex]C=(2)(4.296ft)\pi=26.99ft[/tex]
Answer:
D. 26.99 ft
Step-by-step explanation:
The formula for area of a circle is
A = πr², where r is the radius. We are given A = 58, so plug that in to find r...
58 = πr² solve for r...
58/π = r² (divide both sides by π)
√(58/π) = r (take the square root of both sides)
now simplify...
(√58)/(√π) = r
[(√58)(√π)]/[(√π)(√π)] = r
[√(58π)]/π = r
The formula for circumference is C = 2πr, where r is the radius....so we have
C = 2π([√(58π)]/π) now simplify...
C = 2√(58π) (the 2 pi's cancel out)
C = 26.9972124 (crunch in your calculator)
