SOLUTION: A wire is bent in a shape of a square of side 4cm. The wire is again bent into the shape of a circle.Find the radius of the circle.

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A wire is bent in a shape of a square of side 4cm. The wire is again bent into the shape of a circle.Find the radius of the circle.

The key is that the circumference of the square and the circumference of the circle are the same.
C of square = 4 sides * 4 cm = 16 cm

C of circle = 2*pi*r
You know the C of the circle is 16 cm so:

Simplifying:
r=2.55 cm