A piece of string fits exactly once around the perimeter of a square whose area is 144. Rounded to the nearest whole number, what is the area of the largest circle that can be formed from the piece of string?
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We know the circumference of the circle = the perimeter of the square which is \(\sqrt{144} =12\times4=48\) (you get 12 and 12 x 4 =48)
\(2\pi r=48\)
\(\pi r=24\)
\(r=\frac{24}{\pi}\)
\(\pi\times\frac{24}{\pi}^2=\frac{576}{\pi}\)
\(576\pi\) is about \(183\)
so 183.