Question

A steel wire is used to make an equilateral triangle of side root 3cm square. The wire is then bent in form of a circle what is area and perimeter?

Answer 1

Step-by-step explanation:

Let the length of wire be l

to form it in a shape of equilateral triangle, we need to divide the wire in 3 equal parts of l/3 as shown in figure,

Now,Area of ΔABC with side l/3

A=\frac{\sqrt{3}}{4}\times(side)^2

Here,

A = 121√3 (as given in question)

side = l/3

$A=\frac{\sqrt{3}}{4}\times(l/3)^2\\\;\\121\sqrt{3}=\frac{\sqrt{3}}{4}\times\frac{l^2}{9}\\\;\\121=\frac{l^2}{36}\\\;\\l^2=121\times36\\\;\\l=\sqrt{121\times36}\\\;\\l=11\times6\\\;\\l=66\;cm$