The circle shown here has area πr2. If its radius is tripled in length its new area will be

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03-05-2018
Mathematics

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The circle shown here has area πr2. If its radius is tripled in length its new area will be

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jdoe0001 jdoe0001 · Answer 1 · 2018-05-03T23:23:53+02:00

jdoe0001 jdoe0001

03-05-2018

[tex]\bf \textit{area of a circle}\\\\ A=\boxed{\pi r^2}~~ \begin{cases} r=radius\\ -----\\ r=\stackrel{tripled}{3r} \end{cases}\implies A=\pi (3r)^2\implies A=\pi (3^2r^2) \\\\\\ A=9\boxed{\pi r^2}\impliedby \textit{9 times the original area}[/tex]

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