The number π
In this exercise we estimate π via regular polygons inscribed in
the unit circle.
- Compute h1 and h2.
- Compute the area of ΔOAC and the area of ΔABC.
- Use your results from 2. to find an underestimate for π.
- Let M be the midpoint of the (shortest) arc from B to C.
Compute the area of ΔBMC
and find a better estimate
for π. How could one improve this estimate?
Latest update 24. September 2008 by Iver Ottosen