<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-simple-calculations" target="_blank">Simple π Calculations Exercise</a></p><p>If you study math long enough, shit will start to blow your mind. </p>
<ul>
<li>The primes are infinite?</li>
<li>$a^3 + b^3 = c^3$ has ZERO integer solutions? Not one?</li>
<li>$1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6}...$ adds up to INFINITY?! What?!</li>
<li>A properly shuffled $52$-card deck creates an arrangement that has NEVER occurred before in the history of Earth. Are you kidding me with this stuff?</li>
</ul>
<p><strong><span style="color:#8e44ad;">$\pi$: The Magic Ratio </span></strong></p>
<p>This is another one of these things that will <strong><u>blow your mind</u></strong>. </p>
<p>The ratio of a circle's circumference to its diameter will <strong><span style="color:#e74c3c;"><u>always</u></span></strong> equal the same number, regardless of how small or large the circle is. </p>
<p style="text-align: center;"><span style="font-size:16px;"><strong><span style="color:#27ae60;">We call that number $\pi$ </span></strong></span></p>
<p style="text-align: center;">(pronounced "pie" but spelled "pi.") </p>
<p style="text-align: center;"><span style="font-size:18px;">$$\frac{circumference}{diameter} = \pi$$</span></p>
<p><strong><span style="color:#8e44ad;">Most Common Approximations</span></strong></p>
<p>$\pi$ is a number that you can never accurately express, at least not fully. It's an irrational number, meaning its digits go on forever in no discernible pattern. But there are two very common approximations:</p>
<p style="text-align: center;">$$3.14$$</p>
<p style="text-align: center;">and</p>
<p style="text-align: center;">$$\frac{22}{7}$$</p>