Question

A circle is inscribed in an equilateral triangle whose area is √3m.what is circumference of circle?

Answer 1

area of equilateral triangle = √3/4×a^2 = √3
= a^2= √3×4/√3
=a = √4
=a =2 m
circumference of circle = 2πr
d =2
r =1
=2×22÷7×1
= 44/7
= 6.285 m