Question

a circle is inscribed in an equilateral triangle of side length then for each positive integer circle is inscribed in the region bounded by and an arc of circle forming an infinite sequence of circles tangent to sides and and approaching vertex if these circles collectively have area find

Answer 1

Keeping in mind the end goal to engrave a triangle inside a circle, the Center of the Circle ought to be the Circum-focus.

For the circle, span is signified by "a" Medians gets met in the proportion 2:1 at the purpose of convergence.

Along these lines, longer section is 2/3 of the middle length and shorter fragment in 1/3 of the middle length.