A wire is bent to form a square of side 22 cm. If the wire is re-bent to form a circle, find the radius.

The wire is first bent to form a square of side 22 cm. The length of the wire is equal to the perimeter of this square.
Perimeter of square = $4 \times \text{side}$
Perimeter = $4 \times 22 \text{ cm} = 88 \text{ cm}$

When the wire is re-bent to form a circle, its length becomes the circumference of the circle.
Circumference of circle = $88 \text{ cm}$

The formula for the circumference of a circle is $C = 2 \pi r$, where $r$ is the radius. We are given $\pi = \frac{22}{7}$.

To solve for $r$, multiply both sides by $\frac{7}{44}$:

The radius of the circle is $14 \text{ cm}$.