How Does Pi is IRRATIONAL: animation of a gorgeous proof Work?

Pi is irrational, which means it can’t be written as a simple fraction, like 1/2 or 3/4, and its decimal goes on forever without repeating.

Think of pi as the number that tells you how many times a circle's diameter fits around its edge. If you measure a round plate, pi is what shows up when you divide the distance all the way around the plate (called the circumference) by the distance across it (the diameter).

Imagine trying to write pi as a fraction, like 22/7 or 355/113. These are close, but they’re not exactly pi. Now picture an animation that shows how you can keep getting closer and closer to pi by using better and better fractions. But no matter how clever the fraction is, it never quite hits pi, it's always just a tiny bit off.

It’s like trying to measure your height with blocks of different sizes: each block gets you closer, but you’ll always need more blocks to be perfectly accurate. Pi goes on forever in its decimal form and doesn’t repeat, so it can't be written as a simple fraction, that's what irrational means! Pi is irrational, which means it can’t be written as a simple fraction, like 1/2 or 3/4, and its decimal goes on forever without repeating.