Question

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

Answer 1

let length of side of square = s
area of square = s² = 196 m²
s = √196 = 14m

perimeter of square = 4*14 = 56m
since length of wire doesn't change, perimeter of circle is also 56m
or 2πr = 56
⇒2×(22/7)×r = 56
⇒ r = (56×7)/(2×22) = 8.9 m

Area occupied= πr² = π×8.9² = 248.8 m²

Answer 2

approximately 248m^{2}