Question

A wire bent in the form of a circle encloses and area of

616 sq. cms. If the same wire is bent in the form of a

square what will be the area enclosed by it?​

Answer 1

Answer:

484 sq. cm is the correct answer.

Step-by-step explanation:

$area \: of \: circle = \pi {r}^{2} \\ \\ circumference \: of \: circle = \: 2\pi r \\ \\perimeter \: f \: square = 4a \\ \\ area \: of \: square = \: {a}^{2}$

Area of circle = 616

RADIUS = 14 cm (using formula of area of circle)

Now,

Circumference of circle = 2×14×(22/7)

= 88 cm

Now,

Perimeter of square = Circumference of circle

4×side = 88

Side of square = 22 cm

Area of square = 22×22

= 484 sq. cm

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