Question

A copper wire bent in the form of square encloses an area of 121 cm². If the same wire is bent into the form of Circle, find the area of the circle.​

Answer 1

Step-by-step explanation:

Solution :

⭐ Area of a square = 121 cm²

➡ (side)² = 121

➡ side = √121

➡ side = 11 cm.

⭐ Perimeter of a square = 4 × side

➡ 4 × 11

➡ 44 cm.

⭐ Circumference of a circle = 44 cm

➡ 2πr = 44

$➡ \: 2 \times \frac{22}{7} \times r = 44$

$➡ \: r \: = \frac{44 \times 7}{22 \times 2}$

$➡ \: r \: = 7.$

⭐ Area of a circle = πr²

➡ 22/7 × 7 × 7

➡ 22 × 7

➡ 154 cm².

Answer 2

Step-by-step explanation:

A copper wire bent in the form of square encloses an area of 121 cm². If the same wire is bent into the form of Circle, find the area of the circle.