A 44 cm long wire is bent to form a circle. Find the diameter of the circle.
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Given, Total length of the wire=44cm
∴ The circumference of the circle=2πr=44cm
⇒2×722×r=44
⇒r=2×2244×7=7cm
Now, Area of the circle=πr2=722×7×7=154cm2
Now the wire is converted into square,
Then perimeter of square=44cm
⇒4× side=44
⇒ side=444=11cm
Now, area of square=side×side=11×11=121cm2
Therefore, on comparing the area of circle is greater than that of square, so the circle enclosed more area.
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