Question

a wire is bent in the form of a square occupies an area of 196 m square. if the same wire is bent in the form of a circle ,find the area occupies

Answer 1

Given area of the square = 196 m²
Area of a square = side² = 196 m²
⇒side=√196 m² = 14 m
Therefore perimeter = 4(14) = 56 m
Given the same wire is bent in the form of a circle ,it means the circumference(2πr) of the circle is equal to the perimeter of the square 
⇒2πr = 56 m
⇒r = (56×7)/2×22
⇒r = 392/44 = 8.9 m
Area of a circle = πr² = 22/7×8.9×8.9 = 248.945 m².

Answer 2

The wire is bent to form a square of area 196 m square.
therefore side of the square = a = root(196)=14m
the length of the wire=the perimeter of the square = 4a=4*14=56m
If the wire forms a circle the circumference would be 56m=2πr
r=56/π*2
r=28/π m
area = π*r*r
         =π*28/π*28/π
=28*28/π
=249.45m square