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Finding the area of a circle

In order to find the area of a circle we need to use the equation area equals pi r squared. We can either estimate the area of a circle by putting a numeric value to pi or use pi as an infinite value that will find the area of a circle. Either way we are not finding an exact numeric value to the area of a circle.. if the area of a circle is finite. There is an exact area within a circle. But we yet to have an equation that can give you an exact numeric value to the area of a circle.

Am I correct in my analysis?
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JoyfulSilence · 51-55, M
In some cases, yes, since pi is irrational, hence cannot be represented as a terminating (or even infinite-repeating) decimal.

If r is rational, then the area A is irrational, because if A were rational then pi = A/r^2 would also be rational.

If r is irrational, most likely A will be irrational, too.

However, it is possible for r to be irrational, yet A is rational. For example, let r = sqrt(1/pi). Then A = 1. This value of r is irrational since if it were rational, then pi = 1/r^2 would also be rational.
lpthehermit · 56-60, M
my prediction was right back in junior high school...i would NEVER have a use for pi or algebra. six long wasted years
idontcareok · 70-79, M
there is this thing called google, I;m very sure you can get an answer there

 
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