Question

A wire is in the from of a circle of radius 21cm it is bent into a square determine the side of square​

Answer 1

Answer:

Answer: The side of the square is 33 cm

Answer 2

GiveN:-

A wire is in the from of a circle of radius 21cm it is bent into a square

To FinD:-

Determine the side of square.

SolutioN:-

It is given that the radius is 21 cm.

So by circumference,

$\large{\green{\underline{\boxed{\bf{Circumference=2\pi\:r}}}}}$

where,

• r is radius = 21 cm
• π = 22/7

Putting the values,

$\large\implies{\sf{Circumference=2\times\dfrac{22}{7}\times21}}$

$\large\implies{\sf{Circumference=2\times\dfrac{22}{\cancel{7}}\times\cancel{21}}}$

$\large\implies{\sf{Circumference=2\times22\times3}}$

$\large\therefore\boxed{\bf{Circumference=132\:cm.}}$

Now the side of the square:-

• It is said that the wire in the form of circle is bent in the form of a square.
• So, the circumference of the circle is equal to the perimeter of the square.

According to the question,

$\large\implies{\sf{Circumference=Perimeter}}$

$\large\implies{\sf{132\:cm=132\:cm.}}$

We know that,

$\large{\green{\underline{\boxed{\bf{Perimeter=4\times\:side}}}}}$

where,

• Perimeter = 132 cm
• Side = ?

Putting the values,

$\large\implies{\sf{132=4\times\:side}}$

$\large\implies{\sf{\dfrac{132}{4}=side}}$

$\large\implies{\sf{\dfrac{\cancel{132}}{\cancel{4}}=side}}$

$\large\implies{\sf{33=side}}$

$\large\therefore\boxed{\bf{Side=33\:cm.}}$

The side of the square is 33 cm.