Question 42074
1 metre square means a square with side 1 m. Don't confuse it with square metre. 


Its area = 1 x 1 = 1 sq m.
Perimeter = 4 x (Length of side) = 4 x 1 = 4 m.


Let the radius of the circle be 'r' metre.
Then its area = {{{pi*r^2}}}.
The area of this circle is equal to that of the square.
So, {{{pi*r^2 = 1}}}
or {{{r^2 = 1/(pi)}}}
or {{{r = sqrt(1/(pi))}}} 
or r = 0.5642 m.


Hence, circumference of the circle = {{{2*(pi)*r}}} = {{{2*(pi)*0.5642}}} = 3.545 m.


So the difference between the perimeter of the square and circumference of the circle = 4 - 3.545 = 0.455 m