Question

A wire is in the form of a circle of radius $35$ cm. If it is bent into the shape of a rhombus, what is the side of the rhombus?

• A. $32$ cm
• B. $70$ cm
• C. $55$ cm
• D. $17$ cm

Answer 1

The correct option is C $55$ cm

Given, radius of circular wire $=35$ cm
Circumference of wire $=2\pi r$
$=2\pi \times 35$
$=220$ cm

From question, we have

Circumference of circle $=$ Perimeter of rhombus
$\Rightarrow 4\times$ side $=220$
$\Rightarrow$ side $=55$ cm

Therefore, side of the rhombus is $55$ cm.