Question

A wire is looped in the form of a circle of radius 28 cm. It is re-bent into a square form. Determine the length of the side of the square.

Answer 1

We have:

The radius of the circle = 28 cm
∴ Circumference of the circle = $2\mathrm{\pi }r=2\times \frac{22}{7}\times 28=176\mathrm{cm}$.
Let a cm be the side of the square. Then,

the circumference of the circle = the perimeter of the square

$$\begin{gathered} \Rightarrow 176=4\times a \\ \Rightarrow a=\left(\frac{176}{4}\right)\mathrm{cm}=44\mathrm{cm}. \end{gathered}$$
The side of the square is 44 cm.