A circle, a square, and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.
Elements of Geometry, Charles Venable, 1881
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The answer is: the circle has area \(\dfrac{1}{4\pi} \mbox{ m}^2 \approx 0.0796 \mbox{ m}^2\), the square has area \(0.0625 \mbox{ m}^2\), and the equilateral triangle has area \(\dfrac{\sqrt{12}}{72} \mbox{ m}^2 \approx 0.0481 \mbox{ m}^2\).