Question

A wire is looped in the form of a circle of radius 35 cm. If it is rebent in the form of a square, what will be the length of each side of the square?

Answer 1

It is given that the radius of the circle is 35 cm.
Length of the wire = Circumference of the circle
⇒ Circumference of the circle = $2\mathrm{\pi r}$ = $\left(2\times \frac{22}{7}\times 35\right)$ cm = 220 cm
Let the wire be bent into the form of a square of side a cm.
Perimeter of the square = 220 cm
⇒ 4a = 220
⇒ a = $\left(\frac{220}{4}\right)$cm = 55 cm
Hence, each side of the square will be 55 cm.