# A wire is bent in the form of a square occupies an area of 196 m square. if the same wire is bent in the form of a circle ,find the area occupies

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by saiswamjina

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by saiswamjina

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Area of a square = side² = 196 m²

⇒side=√196 m² = 14 m

Therefore perimeter = 4(14) = 56 m

Given the same wire is bent in the form of a circle ,it means the circumference(2πr) of the circle is equal to the perimeter of the square

⇒2πr = 56 m

⇒r = (56×7)/2×22

⇒r = 392/44 = 8.9 m

Area of a circle = πr² = 22/7×8.9×8.9 = 248.945 m².

therefore side of the square = a = root(196)=14m

the length of the wire=the perimeter of the square = 4a=4*14=56m

If the wire forms a circle the circumference would be 56m=2πr

r=56/π*2

r=28/π m

area = π*r*r

=π*28/π*28/π

=28*28/π

=249.45m square