Hi

I am not sure if the title accurately reflects my issue, apologies if this is not the case.

I am an academic engineer, I have encountered a problem where i would like to equate a circle to a triangle to simplfy a problem..... My criteria is to transform a circle to a 120, 30, 30 triangle with equivalent area and perimeter, when i quickly derived the simultaeous equations i get the following two expressions

y1 = b+2*h

y2=(b*h)/2

where:

y1=the circles perimeter

y2=the circles area

b= base of triangle

h= height of triangle

I thought i would ask as i do not want to waste time if it is not possible to solve and satisfy the 120, 30, 30 condition......... Are there any methods that can be used to tackle this issue?