A wire of length 44 cm is first bent to form a circle and then rebent to form a square. The difference of the two enclosed areas is
Let radius of circle be $$r$$ and side of square be $$a$$
=> Circumference of circle = $$2 \pi r = 44$$
=> $$r = 7 cm$$
Since, the circular wire is bent to form square, => both of their perimeters are equal
=> Perimeter of square = $$4a = 44$$
=>$$a = 11 cm$$
Now, area of circular wire = $$\pi r^2$$
= $$\frac{22}{7} * 7^2 = 154 cm^2$$
Area of square = $$a^2$$
= $$11^2 = 121 cm^2$$
=> Required difference = 154-121 = $$33 cm^2$$
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