which has a greater area : a square of perimeter 132 cm or a circle of circumference 132 cm, and by how much?
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Answer:
perimeter of square=132cm
side=132/4
=33
area=33×33
=1089cm^2
circumference=132cm
so,
2πr=132
22/7×2×r=132
r =132×7/44
r = 21 cm
so,
area = πr^2
=22/7×21×21
=1386cm^2
so,
area of circle is more than square by (1386-1089)cm^2
hence,
difference=297cm^2
so at last,
area of circle is more than area of a square by 297^2
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