Question

A copper wire when bent in the form of an equilateral triangle has area 121 root 3 if the same wire is bent into the form of a circle fod the area of circle

Answer 1

Area of an equilateral ∆ = √3a²/4

Where a=side

Now, given that -

√3a²/4= 121√3

=>a²=121*4

=> a=11*2= 22

Therefore, length of wire = a+a+a=66

Now, this wire is bent into a circle, so circumference of the circle=2πr=66

=>2*(22/7)r=66

=> r=21/2

Now, area of this circle =πr²

=(22/7)*(21/2)²

=693/2

=346.5cm²

Answer 2

Area of enclosed by the circle is 346.5 square cm .