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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ArishMell · 70-79, M

You are correct in strictly mathematical terms, because pi is irrational.

However, if we take pi to enough decimal places for the task in hand, the error becomes insignificant.

It cannot be taken as an infinite value for real purposes, of course, beyond that implied in the simple algebra describing the relationship between Radius and the Circumference and Area, of any Circle or circle-based figure, including Solids of Revolution found by [Pi times the integrated area].

Pi is also used in Harmonics (e.g. acoustics and electricity), but again taken to a finite limit for practical work - albeit that such value may be the physical limit of the processor in a calculator or computer.