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the área of a circule is 144pi ft2, what is the circumference in Feet, exprés your answer in terms of pi

Sagot :

Answer:

[tex]C=24\pi ft[/tex]

Explanation:

The below formula can be used to find the area of a circle;

[tex]A=\pi\times r^2[/tex]

Given A = 144 pi ft^2, let's go ahead and express the equation in terms of r;

[tex]\begin{gathered} 144\pi=\pi\times r^2 \\ r^2=\frac{144\pi}{\pi} \\ r=\sqrt[]{144} \\ r=12ft \end{gathered}[/tex]

The below formula can be used to find the circumference of a circle;

[tex]C=2\pi r[/tex]

Since r = 12ft, let's go ahead and solve for C;

[tex]\begin{gathered} C=2\times\pi\times12 \\ C=24\pi ft \end{gathered}[/tex]

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