Question

A wire is bent into a circular shape of radius 7cm. If it is rebent in the form of a square, what will be area of square?

Answer 1

Answer:

Area of square is 121cm²

Step-by-step explanation:

$let \: r \: = \: 7cm$

$circumference \: of \: circle \: = 2\pi r \\ = 2 \times \frac{22}{7} \times 7\\ = 44 \: cm$

If a wire is rebent from circle to square it's actual perimeter(circumference of circle) doesn't change.

Let the side of square be s

now,

$primeter \: of \: square \: = 4s$

since, circumferent of circle is same as perimeter of square [because no extra wire is added].

therefore,

$44 = 4s \\ = > \frac{44}{4} = s\\ = > s = 11$

since, side of square is 11

Area is,

$area \: = \: {s}^{2} = {(11cm)}^{2} = 121cm^{2}$

therefore, area if square is 121cm².