Question

a wire is bend to form a square of side 22cm .if the wire is rebend to form a circle. find the radius

Answer 1

side of square =22cm
perimeter of square =88cm
length of wire =88cm
circumference of circle=88cm
2pie r =88
pie r= 44
r=44×7/22
r=14cm

Answer 2

Answer:

$Radius \: of \: the \: circle = 14\:cm$

Step-by-step explanation:

$Side \:of \:a\: square (a)=22\:cm$

$Let\: radius \: of \: the \: circle = r \:cm$

$If \:wire \:bend \:to \:form \\a\: square\:and \:rebend \:to\\form\:a\:circle\\then\\Circumfernce \:of \:a\: circle \\= Perimeter \:of \:the \:square$

$\implies 2\pi r = 4a$

$\implies 2\times \frac{22}{7}\times r = 4\times 22\:cm$

$\implies r = \frac{4\times 22\times 7}{2\times 22}$

$\implies r = 14\: cm$

Therefore,

$Radius \: of \: the \: circle = 14\:cm$

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