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

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#### Explanation

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#### Explanation:

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mason m Share
Jun 21, 2016

$8$

#### Explanation:

Use the formula for the area of a circle:

$A = \pi {r}^{2}$

Here, the area is $16 \pi$:

$16 \pi = \pi {r}^{2}$

Divide both sides by $\pi$:

$16 = {r}^{2}$

Take the square root of both sides:

$\sqrt{16} = \sqrt{{r}^{2}}$

$4 = r$

Since the radius of the circle is $4$, the diameter is twice that:

$d = 4 \times 2 = 8$

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