The wire is shaped as a circle with diameter 70 cm. When reshaped into a square, the wire length remains constant.
The circumference of the circle equals the length of the wire:
Circumference =π×diameter
=722×70
=22×10
=220 cm
When the wire is bent into a square, the perimeter of the square equals the wire length.
Perimeter of square =4×side
220=4×side
side=4220
side=55 cm
The diagonal of a square with side length s is given by:
Diagonal =s2
Diagonal =552 cm
Therefore, the length of the diagonal is 552 cm.