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# What is the circumference of a circle whose area is 16pi?

Jan 6, 2016

$8 \pi$
The circumference of a circle is $2 \pi r$ and the area of a circle is given by $\pi {r}^{2}$
$\pi {r}^{2} = 16 \pi$
$\therefore r = \sqrt{16} = 4$
Circumference $= 2 \pi r = 2 \pi \cdot 4 = 8 \pi$