Archimedes Calculates Pi (π)
<p><span style="font-size:16px"><a href="https://www.prepswift.com/quizzes/quiz/prepswift-archimedes-calculates-pi" target="_blank">Archimedes Calculates Pi Exercise</a></span></p><p>The most educated individuals of ancient civilizations knew that $\pi$ was approximately $3$ or $3$-point something, but there wasn't a high degree of accuracy. That is, of course, until <strong><span style="color:#8e44ad;">Archimedes Calculated $\pi$</span></strong>.</p>
<p>Archimedes knew how to calculate the perimeter of regular polygons, so first he simply put a square around and inside a circle of radius $1$, giving it a circumference of $2\pi$.</p>
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<p>Not a bad start! Just by putting a square outside and inside the circle, he was able to determine that $\pi$ is greater than $2.83$ and smaller than $4$. He simply repeated this process with regular polygons of more sides to get an ever more accurate interval for $\pi$. Genius! This is the interval when you use a regular hexagon:</p>
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<p>A lot better! Archimedes was able to continue this process, culminating in a <strong><u>$96$-sided regular polygon</u></strong>! That gave a VERY accurate measurement of $\pi$. He found that...</p>
<p style="text-align: center;"><span style="font-size:22px;"><span style="color:#27ae60;">$$3.14103 < \pi <3.142715$$</span></span></p>