A copper wire of length 44cm is to be bent into a square and a circle. Which will have a larger area?
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Wire of length which is bent = 44cm
Therefore,
Perimeter of = perimeter of circle = 44cm
Let's find side of square by using perimeter =
p = 4 × Side
44 = 4 × Side
Side = 11
Area = Side × Side
Area = 121 cm²
Let's find radius of circle by using perimeter =
p = 2 π r
44 = 2 × 22/7 × r
r = 7 cm
Area = π r²
Area = 22/7 × 7 ×7
Area = 154 cm²
As we got area of square = 121 cm² and area of circle = 154 cm²
So, circle will have larger area
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