Question

what is the ratio of area of circle and area of equilateral triangle whose sides and diameter is equal

Answer 1

side of triangle be a and radius be r and diameter be d
a=d
a=2r
area of circle= πr2
area of triangle= {(√3)/4}a2 ={(√3)/4 }(2r)^2= (√3)r2
ratio= πr2/(√3)r2 = π/√3