Question

A wire is in the form of a circle with radius 42cm. It is bent into a square. find the sides of the square

Answer 1

radius of circle=42cm
perimeter of circle=2Πr=264cm
perimeter of circle =perimeter of square
4a=264
a=66cm

Answer 2

$\star\small\sf\underline\blue{Given:-}$

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• A wire is in the form of a circle with radius 42cm. It is bent into a square.

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$\star\small\sf\underline\blue{Find \: Out:-}$

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• The sides of the square = ?

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$\star\small\sf\underline\blue{Solution:-}$

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• Radius of the circle = 42 cm

$\footnotesize\bold{\underline{\underline{\sf{\red{Therefore:-}}}}}$

$\sf \: Circumference = 2\pi r \\ \\ \leadsto \sf \: Circumference =2 \times \dfrac{22}{ \cancel7} \times \cancel{42} \: cm \\ \\ \leadsto \sf \: Circumference =2 \times 22 \times 6 \: cm \\ \\ \leadsto \sf \: Circumference =44 \times 6 \: cm \\ \\ \leadsto \sf \: Circumference =\large{\boxed{\bf\pink{264 \: cm}}}$

$\footnotesize\bold{\underline{\underline{\sf{\red{Now:-}}}}}$

$\sf \: Perimeter \: of \: square=Circumference \: of \: circle \\ \\ \sf 4a = 264 \\ \\ \therefore \: \sf \: a = \cancel\dfrac{264}{4} \\ \\ \sf \: a = \large{\boxed{\bf\pink{66 \: cm}}}$

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$\star\small\sf\underline\blue{AnswEr:-}$

• The sides of the square = 66 cm