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The area of a circle is 528 feet. find the diameter.

 May 21, 2014

Best Answer 

 #1
avatar+33665 
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The area of a circle can be written as $$Area=\pi\frac{D^2}{4}$$ where D is the diameter.

$$$528=\pi\frac{D^2}{4}$\\
Multiply both sides by $\frac{4}{\pi}$\\
$$D^2=\frac{4*528}{\pi}$$\\
take the square root of both sides\\
$$ D=\sqrt{\frac{4*528}{\pi}}$$$$

$${\mathtt{D}} = {\sqrt{{\frac{{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{528}}}{{\mathtt{\pi}}}}}} \Rightarrow {\mathtt{D}} = {\mathtt{25.928\: \!179\: \!257\: \!714\: \!298}}$$  feet

or D ≈ 25.93feet

 Incidentally, the area would be in square feet, not just feet!

 May 21, 2014
 #1
avatar+33665 
+5
Best Answer

The area of a circle can be written as $$Area=\pi\frac{D^2}{4}$$ where D is the diameter.

$$$528=\pi\frac{D^2}{4}$\\
Multiply both sides by $\frac{4}{\pi}$\\
$$D^2=\frac{4*528}{\pi}$$\\
take the square root of both sides\\
$$ D=\sqrt{\frac{4*528}{\pi}}$$$$

$${\mathtt{D}} = {\sqrt{{\frac{{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{528}}}{{\mathtt{\pi}}}}}} \Rightarrow {\mathtt{D}} = {\mathtt{25.928\: \!179\: \!257\: \!714\: \!298}}$$  feet

or D ≈ 25.93feet

 Incidentally, the area would be in square feet, not just feet!

Alan May 21, 2014

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