Question

A wire is in the circular shape of radius 49 CM. it bent into the shape of a square .find the area of the square so formed

Answer 1

heya frnd!

here's ur answer...

circumference of circle=perimeter of square

given the radius of the circle is 49cm

therefore circumference of the circle=2πr

=2×22/7×49

=44×7

=308cm

hence, the perimeter of square is 308cm

side×4=308cm

side=308/4

side=77cm

area of the square=side×side

=77×77

=5929cm²

hope this helps u..!

Answer 2

$\huge \red{{\underline{\frak{Question:-}}}}$

$\tt{\fcolorbox{lime}{lime}{A wire circular in shape is of radius 14 cm.}} \\ \tt{\fcolorbox{lime}{lime}{ If it is bent in the form of a square,}} \\ \tt{\fcolorbox{lime}{lime}{find the size of the square.}}$

$\huge \tt{\fcolorbox{red}{red}{Given:- }}$

$\tt{\fcolorbox{lime}{lime}{Radius of the circular wire = 14 cm}}$

$\huge \tt{\fcolorbox{pink}{pink}{To Find:- }}$

$\tt{\fcolorbox{lime}{lime}{The size in the form of a square.}}$

$\huge \tt{ \underline\fcolorbox{lightgrey}{lightgrey}{Solution:- }}$

$\small \red{\underline{\boxed{\bf{Circumference \: \: of \: \: the \: \: wire </p><p> = 2\pi r = 22 \times \frac{22}{7} \times 14 = 88 \: cm}}}}$

$\small \red{\underline{\boxed{\bf{Circumference \: \: of \: \: the \: \: wire = Perimeter \: of \: the \: square = 88 \: cm }}}}$

$\small \red{\underline{\boxed{\bf{Let \: the \: side \: of \: the \: square \: be \: (a) \: cm.}}}}$

$\red \star \: \: \: \: \small \red{\underline{\boxed{\bf{∵ Perimeter \: of \: square = \: 4×side}}}} \: \: \: \red \star$

$\small \red{\underline{\boxed{\bf{4a = 88 \: cm}}}}$

$\small \red{\underline{\boxed{\bf{a = \frac{88}{4} \: \: cm }}}} \:$

$\small \red{\underline{\boxed{\bf{a = \frac{ \cancel88 \: ^{22} }{ \cancel4 \: ^1} \: \: cm }}}}$

$\red⟹\small \red{\underline{\boxed{\bf{a = 22\: cm}}}}$

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