Question

A piece of wire is bent in the shape of an equilateral triangle of side $4.4cm$. If this wire is rebent to form of a circle, find the radius and the area of the circle.

Answer 1

Length of wire = perimeter of $△$

$=3\times 4.4\Rightarrow 13.2cm$

Now, the circumference of circle = length of wire

$2\pi r=13.2$

$r=\frac{13.2}{2\times \pi }$

$r=2.1cm$

Area of circle $\Rightarrow \pi r^2\Rightarrow \pi \times (2.1{)}^2$

$\Rightarrow 13.86c{m}^2$