Question

Shazli took a wire of length 44cm and bent it into the shape of a circle.Find the radius of that circle. Also find its area. If the same wire is bent into the shape of square,what will be the length of each of its sides? Which figure encloses more area, the circle or the square? ( Take π = 22/7)​

Answer 1

Answer:

☆Area of circle is 154 cm².

☆Length of each side of square is 11cm.

☆ Circle encloses more area.

Step-by-step explanation-

Given:

• Shazli has a wire of 44 cm length and she bent it into shape of a circle and with same wire she bent it into the shape of square.

To find:

• The area of the circle which has length of 44 cm.

• Length of each sides of square if same wire bent into the shape of square.

• Which figure encloses more area?

How to solve?

• At first we have given the length of circle which is equal to its circumference . So, we'll find the radius and then we'll calculate the area by the formula.

• Then length of the circle is the circumference , so circumference will be equal to the perimeter of the square. So, we can easily find the length of the square .

• After getting length of sides of square we'll find the area of the square.

• After getting the area of circle and the square , we can easily find which has more area.

Solution:

First case -

☆As length of wire = 44 cm

☆So, circumference of the circle = 44cm

$\rm { => 2πr = 44 }$

$\rm { => r = \frac {44}{2π} = \frac {44 × 7}{2 × 22}}$

$\rm {r = 7cm }$

☆So, radius = 7cm

☆Now, area of circle = $\rm {πr²}$

$\rm { \frac {22}{7}×7×7=154cm²}$

Second case:

☆Perimeter of square = 44cm [ 4 × side ]

☆Side =$\rm {\frac {44}{4} = 11 cm }$

☆Length of each side of square = 11 cm.

☆Now, area of square = ( side )²

= ( 11 cm)² = 121 cm²

_____...

As , 154cm² > 121cm²,

So, the circle's area is greater than the square's area.

Answer 2

Answer:

154cm² = 121cm²

hope it helped