prove that nth polygon is a circle mathematically?(by applying limit or graphically)

Question

How can I show that a sequence of regular polygons with n sides becomes more and more like a circle as n→∞?

Answer 1

wot the old Greeks did...evree regular polygon hav inside serkel & . . . outside serkel with same senter & =senter av polygon. . . . as number sides av polygon get bigger, the 2 serkel radiuses get kloeser. . . . As n gotu infinity, 2 serkels become 1. & polygon squeezed in tween.