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Is there a way to put a figure inside of a circle so that nothing sticks out?

Fit a square peg into a round hole

Have you ever been with a group of people you don't really feel comfortable with? Or maybe you've been given a job that just doesn't get you excited. In cases like these, it seems that no matter how hard you try, you just can't seem to fit in or like what's going on. It's like trying to fit a square peg into a round hole. In fact, that's exactly what the idiom refers to: sometimes things just don't fit, and it's not worth your time to try.

In life, there are lots of examples of square pegs not fitting in round holes; in math, however, this concept actually isn't true. As it turns out, you can stick a square peg into a round hole. Click on the image below to see how this works.

    square fits perfectly inside the circle

Not only can you stick a square inside a circle, you can also put triangles, hexagons, and other quadrilaterals inside circles, too. Read on to find out how.