Pi is not an invented number but a discovered number. Mathematicians discovered that if you compare the circumference to the diameter of a circle, you get the same ratio. That means that if you measure the outside of a circle and divide it by the distance across the circle, you always get a number incredibly close to 3.14159 (accuracy is dependent on your measurement tool and how “perfect” your circle is).
If you want to know where the area formula comes in, go to the link below and click “Start Show.”
https://www.geogebra.org/m/WFbyhq9d
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