Archimedes' π — Polygon Bounds Explorer

Inscribed and circumscribed regular n-gons squeezing in on π from both sides

Inscribed — lower bound
Circle
Circumscribed — upper bound
Number of sides  n 6
Lower bound inscribed perimeter ÷ d
3.000000
True π exact value
3.141593
Upper bound circumscribed perimeter ÷ d
3.464102
3.0000  < π <  3.4641
Gap: 0.4641  — shrinks toward 0 as n grows