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$[$True$][$False$]$ If the radius of a circle is increased by a certain factor, say $5,$ then the area increases by the square of the factor, in this case $5^2$ or $25.$

So if you sgale up the radius of a circle by a factor of $10,$ its area will increase by

Application:

Suppose you raise chickens and spend $$50$ to buy wire for a chicken pen. The shape of the pen that will hold the most chickens inside will be

$[$square$][$circular$][$either$,$ for both provide the same area$]$