Question

A copper wire is bent to make a square and later it is bent again to make a circle.
The area of the square is 121 cm², then what will be the area of the circle? ​

Answer 1

Step-by-step explanation:

Given

a 2 =121

⇒a=11

L=4a=44

Given 2πr=44⇒2× 722

×r=44∴r=7

Area =A=π×49=49π cm 2

=49× 722A=154 cm 2

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Answer 2

Given :-

Area of the square = 121 cm²

To Find :-

Area of the circle :-

Formula Used Here :-

• Area of Square = Side²
• Perimeter of square = 4 × Side
• Circumference of Circle = 2πr
• Area of the Circle = πr²

Solution Start :-

Area of Square = Side²

121 cm² = Side²

√121 cm² = Side

11 cm = Side

Perimeter of Square = 4 × Side

4 × Side = Circumference of Circle

4 × Side = 2πr

4 × 11cm = 2πr

44 cm = 2πr

$= > \: 44 \: cm \: = 2 \times \frac{22}{7} \times r \\ \\ = > 44 \: cm \: = \frac{44}{7} \times r \\ \\ = > \frac{44 \times 7}{44} = r \\ \\ = > \frac{\cancel {44} \times 7}{\cancel {44}} = r \\ \\ = > 7cm \: = radius$

Area of Circle = πr²

$= > \: area \: of \: circle \: = \frac{22}{7} \times {7}^{2} \\ \\ = > \: area \: of \: circle = \frac{22}{7} \times 7 \times 7 \\ \\ = > area \: of \: circle = \frac{22}{\cancel {7}} \times \cancel {7} \times 7 \\ \\ = > area \: of \: circle \: = 22 \times 7 \\ \\ = > area \: of \: circle \: = 154 \: {cm}^{2}$

Therefore, area of the circle is 154 cm²