<p>The answer was of course that the area of the circle would be greater. Anyone find an elegant method to prove this, as i had to resort to plugging in?</p>
<p>i used a mathematical method… if you give me the problem i will show you.</p>
<p>ok i think it said that r>3 circumfrence of circle equal to perimeter of square </p>
<p>which is greater:area of circle or area of square</p>
<p>wait… hm.</p>
<p>Remember that Area of Circle is pi r^2</p>
<p>An exponential increase times pi is going to be higher than a s^2 for a square.</p>
<p>k so.</p>
<p>2(pi)r = 4l
(r<em>(pi)/2) = l
(r^2)</em>(pi^2)/4 = l^2</p>
<p>pi^2 * r^2 = 4l^2
pi r ^2 = (4 / pi ) * l ^ 2</p>
<p>we can see that the area of the circle is always larger than that of the square… either way.</p>