Question

A wire is in the shape of a circle of radius 21 cm. It is bent to form a square, Find the side of the square. (use π = 22/7)
I want answer with full explanation​

Answer 1

Given :

• Radius of wire is 21 cm .

To Find :

• Side of Square .

Solution :

Firstly we will Find the Circumference :

Using Formula :

$\longmapsto\tt\boxed{Circumference\:of\:Circle=2\pi{r}}$

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{{\cancel{7}}}\times{{\cancel{21}}}}$

$\longmapsto\tt{44\times{3}}$

$\longmapsto\tt\bf{132\:cm}$

Now ,

The same wire is bent to form a square . So ,

Using Formula :

$\longmapsto\tt\boxed{Perimeter\:of\:Square=4\times{Side}}$

Putting Values :

$\longmapsto\tt{132=4\times{Side}}$

$\longmapsto\tt{\cancel\dfrac{132}{4}=Side}$

$\longmapsto\tt\bf{33\:cm=Side}$

So , The Side of Square is 33 cm ..

_______________________

• Circumference of Circle = 2πr
• Area of Circle = πr²
• Perimeter of Square = 4 × Side
• Area of Square = (Side)²
• Perimeter of Rectangle = 2(l+b)
• Area of Rectangle = length × breadth

_______________________

Answer 2

$\huge\tt\underline{\purple{❥}\pink{A}\blue{N}\orange {S}\red{W}\green {E}\blue{R}}$

$circumference \: of \: circle \: is \: = 2\pi \: r$

$= 2 \times 22 \div 7 \times 21$

$\: \: \: \: \: = \: \: \: \: 132$

$side \: of \: s quare \: = 4 \times side$

$132 = \: \: 4 \times s$

$side \: = 132 \div 4$

$side \: = 33$

ꜱᴏ ᴛʜᴇ ꜱɪᴅᴇ ɪꜱ 33