two wires of length 8 centimetre are there one is to form a square and one is to form a circle which one has more area
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Given length is 8cm
when there is requirement of a circle then the length of the wire (8cm) would become the circumference of circle
So, Circumference of circle = 8cm
2πr = 8
2×22/7×r = 8
44/7×r = 8
r = 8 × 7/44
r = 14/11
r = 1.27 cm
Area of circle = πr^2
=> 22/7 × (1.27)^2
= 22/7 × 1.61
= 5.06cm^2 is the area of circle
Now, in the case of square the length of the wire would be divided into 4 equal parts so as to get the length of the sides of square.
length of each side of square = 8/4 = 2cm
So, Area of square = (side)×(side) = 2×2 = 4cm^2
This means that the Circle has more area as compared to square's area.
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