Question

A circular wire of radius 21 cm is bent into the shape of a square. Find the the area of the square.​

Answer 1

Question :-

• A circular wire of Radius 21 cm is bent into the shape of a Square. Find the Area of the Square.

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Answer :-

• Area of the Square = 66 cm²

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Explanation :-

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∓ Here, it is given that, The Radius of circular wire is 21 cm . And, we have to find Area of the Square .

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• Now, let's solve step by step -----

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◆ First, we will find Side of Square :-

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$\dag \: \sf{Circumference \: of \: Circle=Perimeter \: of \: Square \: \dag} \\ \\ \dashrightarrow \: \sf{2 \: \pi \: r = 4 \times side} \\ \\ \dashrightarrow \: \sf{2 \times \frac{22}{7} \times 21 = 4 \times side } \\ \\ \dashrightarrow \: \sf{132 = 4 \times side} \\ \\ \dashrightarrow \: \sf{side = \frac{132}{4} } \\ \\ \dashrightarrow \: \sf{side = 33 \: cm}$

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◆ Now, we will find Area of Square :-

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$\dag \: \sf{Area \: of \: Square=( \: side \: ) {}^{2} \: \dag } \\ \\ \dashrightarrow \: \sf{Area \: of \: Square=( \: 33 \: ) {}^{2} } \\ \\ \dashrightarrow \: \sf{Area \: of \: Square = 66 \: cm {}^{2} }$

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Hence :-

• Side of Square = 33 cm .
• Area of Square = 66 cm² .

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Answer 2

1089 cm²

Step-by-step explanation:

Circumference of circle = Perimeter of Square

2πr = 4× side

2 × 22/7 × 21 = Perimeter of Square

132cm = Perimeter of Square

Side of a square = (132/2)cm

33cm

area of square = side × side

(33×33)cm

1089cm²