Question

A wire, when bent in the form of a square, encloses an area of $196c{m}^2$. If the same wire is bent to form a circle, then area of the circle is $249.45c{m}^2$

If true enter 1 else 0

Answer 1

Area of square wire ${side}^2=196{cm}^2$
Hence, length of side $=14cm$

Perimeter of the square wire $=4\times 14=56cm$

The same $56cm$ wire is used to make a circle.

Hence, circumference of the circle $=56cm$

$=>2\pi \times radius=56cm$

$=>2\times \frac{22}{7}\times radius=56cm$

radius of the circle formed $=\frac{98}{11}cm$

Area of a circle of radius r $=\pi r^2$
Area of the circle formed $=\frac{22}{7}\times \frac{98}{11}\times \frac{98}{11}=249.45{cm}^2$