It's time to take the Pi Day challenge. (From 2020) PiDay
. But now let's try this a new way. Let’s see how close we can get to pi by drawing a circle.
Here's how this will work. You draw a circle. From that circle, you can determine both the circumference and the radius. Then the value of pi would be the circumference divided by twice the radius. Simple, right? Oh, but what if your circle isn't perfect? I mean, who draws perfect circles anyway? Let's imagine that this un-perfect circle is actually a bunch of discrete points connected by line segments. If you zoomed in on a part of it, it might look like this:Now I can find the distance between each successive point using the following formula:For the total circumference, I can just add up all these distances. That should work just fine.
So I wrote this Python script to do the math. Try it out below! Draw the best circle you can by dragging the yellow ball around the central white ball. After you make it all the way around, the program calculates the circumference and radius of your circle—and from that, the value of pi. You can see the code by clicking the pencil icon. To run it again, click the Play button.I'll be honest—this could be better.
Now for the Pi Day Challenge. Can you draw a circle for a calculated pi value that is close to 3.14159265359? How many decimal places can you nail? Can you get a better value than your friends? Let's see!
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