7. A square shaped wire is opened out and made into a circle of area 616 cm”. Find the radius
of the circle and its circumference. Also find the side of the original square.
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Step-by-step explanation:
perimeter of wire = 6 a
area of circle = πr² =616cm
=>r²= 616/π
=>r² = 196
=> r = √196 = 14
=> r = 14 cm
circumference = 2πr = 2π (14)
= 88 cm
According to question,
=> perimeter of circle = area of circle
=> 6a = π r²
=> a = π r²/6
=> a = 308/3
so side of square is 308/3 cm
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