How Much Pi Do You Really Need?

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To celebrate Pi Day, we look at applications—from NASA to cars—that prove you can have too much of a good thing.

Of course, this just gives the average density for Earth. Parts of it, like the surface, have lower density than the core. But still, there it is: The Earth has a mass of 5.972 x 10meters, which gives an actual density of 5,494.87 kilograms per cubic meter.That might seem like a huge difference, but actually neither one of those answers is exact. That’s because the Earth isn't a perfect sphere—it's an oblate spheroid.

But how do we find these values of sine, cosine, and tangent for different angles? The oldest way is to just. These are just printed lists with angles and their corresponding sine, cosine, and tangent values. Your pocket calculator does something similar—usually a combination of a look-up table and an approximation of a type to get you that value of tangent . But it doesn't depend on the value of π.

 

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