Given:

• A silver wire is BENT to FORM square.
• Area of square formed = 484 cm²
• The same wire is bent into circle.

To find :

Area of circle

Formula used :

• Area of square = (SIDE)²
• Perimeter of square = 4 × side
• Circumference of circle = 2πr
• Area of circle = πr²

Solution :

Firstly we need to find out side of square.

➝ (Side)² = 484 cm²

➝ Side = √(484 cm²)

➝ Side = ± 22 CM

As side can't be negative, therefore

➝ Side = 22 cm

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Now we will find length of wire.

➝ Length of silver wire = Perimeter of square formed

➝ Length of silver wire = 4 × side

➝ Length of silver wire = 4 × 22cm

➝ Length of silver wire = 88cm

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As the same wire is bent into circle,

Circumference of circle = Length of silver wire

➝ Circumference of circle = 88cm

➝ 2πr = 88cm

➝ 2×(22/7)×r = 88cm

➝ 44r/7 = 88cm

➝ 44r = 88×7 cm

➝ 44r = 616 cm

➝ r = 616 cm/44

➝ r = 14 cm

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Area of circle = πr²

➝ Area of circle = (22/7) × (14 cm) × (14 cm)

➝ Area of circle = 22 × 2cm × 14 cm

➝ Area of circle = 616 cm²

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ANSWER : 616 cm²