A copper wire of length 44 cm is to be bent into a square and a circle. Which will have a larger area?
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★ Given :
A copper wire of length 44 cm is to be bent into a square and a circle.
★ To Find :
Which will have a larger area?
★ Solution :
We know that,
⚘ Circumference of circle
➞ 2πr = 44 cm
➞ 2 × 22/7 × R = 44
➞ R = 7 cm
⚘ Finding Area of Circle = πr²
➞ 22/7 × (7)²
➞ 22/7 × 49
➞ 154 cm²
The wire is converted in square
⚘ Perimeter Of Square= 44 cm
➞ 4 × side = 44
➞ Side = 44/4
➞ Side = 10 cm
⚘ Finding Area of Square = (Side)²
➞ 11 × 11
➞ 121 cm²
Area of Circle is Greater than square
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