Just for Fun – Visualizing Circumference vs. Diameter, Pi and the Square Root of Pi | Steve Wait – August 4, 2022

Graphing or plotting the division of circumference by diameter

via

multiplying the circumference by the inverse diameter to arrive at an area of

π

evolves a curve of function

f(x)=(xn)1f\left(x\right)=\left(\frac{{x}}{n}\right)^{-1}

distinctly highlighting the

π\sqrt\pi

 

I’ve created a Geogebra animation here: PI and Square Root of PI

Screenshot of Geogebra animation – Manipulate point “c”