Want to know if there is a known formula for calculating the surface area of a circle using only the circumference as a given measurement ?
What has confused us [old timers] is pi a true or precise way of finding area of circle given that creating a square from it [morphing if you like] has a different area.
If everyday life us mere mortals have no use of pi, trigonometry and algebra. Will admit to using Pythagoras for finding squaring up a frame.
We watching a TV show on the story of maths and has got us fascinated.