I was listening to a podcast featuring Neil Degrasse Tyson where he learned that 2 basketballs can fit through the same hoop side by aide because the hoop is 4 times the size of 1 ball, yet I can’t picture in my head how that’s possible
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The formula for the area of a circle is π r^2.
If a basketball’s rim width (diameter) is 2x the basketball, then so is its radius.
So when you square the radius, you need to square the 2 as well.
Thus, for any size rim where the basketball fits side by side within the rim, the area of that rim is 4x the basketball’s.
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