A wire when bent in form of a square encloses an area of 992.25cm^2. if the same wire is bent to form a semi-circle ,what will be the radius of the semi-circle so formed
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The radius of the semicircle = 441/11 cm
Area of the square formed by the wire = 992.25 cm²
Let side of the square be a.
=> Area = a²
=> a² = 992.25
=> a = 31.5 cm
The length(l) of the wire is equal to the perimeter of the square .
l = 4a
=> l = 126 cm
Circumference of the semicircle (radius = r) formed is equal to the length of the wire.
Circumference of semicircle = πr
=> πr = l
=> r = 126/π
=> r = 441/11 cm
Radius of the semicircle = 441/11 cm
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idk if u still need the answer but here you go
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