a wire is in a circular shape of a area 5544cm². if the same wire is bent in the shape of a square, find the length of a side of the square and its area.
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Answer:
Side = 66 cm
Area = 4356 cm^2
Step-by-step explanation:
Area of wire= 5544cm^2
pi*r*r = 5544
r^2 = 5544/pi
r^2 = 5544*(7/22)
r^2 = 1764
r = √1764
r = 42 cm
As the same wire is bent into a square,
circumference of circle = perimeter of square
2*pi*r = 4*side {perimeter of square=4a where 'a' is the side}
2*(22/7)*42 = 4*side
264 = 4*side
side = 66 cm
Thus, side of square = 66cm
area of square = side^2 = 66^2 = 66*66 = 4356 cm^2
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