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The area of a circle is 16π ft². What is the circumference, in feet? Express your answer in terms of \piπ.

Sagot :

Answer:

[tex]C=8\pi[/tex].

Step-by-step explanation:

The formula for the area of a circle is [tex]A=r^2\pi[/tex], or [tex]r=\sqrt{\frac{A}{\pi}}[/tex]. So [tex]r = \sqrt{\frac{16\pi}{\pi}} = 4[/tex]. The formula for the circumreference of a circle is [tex]C=2r\pi[/tex], so [tex]C=8\pi[/tex]. We are now done.