Simple π Calculations

<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-simple-calculations" target="_blank">Simple &pi; Calculations Exercise</a></p><p>If you study math long enough, shit will start to blow your mind.&nbsp;</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&nbsp;</span></strong></p> <p>This is another one of these things that will&nbsp;<strong><u>blow your mind</u></strong>.&nbsp;</p> <p>The ratio of a circle&#39;s circumference to its diameter will&nbsp;<strong><span style="color:#e74c3c;"><u>always</u></span></strong>&nbsp;equal the same number, regardless of how small or large the circle is.&nbsp;</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 &quot;pie&quot; but spelled &quot;pi.&quot;)&nbsp;</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&#39;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>