Question

Shyam took a wire of 66cm. He bent it into the shape of a circle. If the same wire is rebent into
the shape of a square then what will be the length of its sides, which shape encloses more area?

Answer 1

Given length of a wire = 66cm.

Given that he bent it into a shape or circle.

So, cirumference = 66cm.

$= > Circumference = 2\pi r$

= > 66 = 2 * (22/7) * r

= > 66 = 44r/7

= > 66 * 7 = 44r

= > 462 = 44r

= > r = 10.5 cm.

Now,

$= > Area = \pi r^2$

= > Area = (22/7) * (10.5)^2

= > Area = (22/7) * 110.25

= > Area = 346.5.

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Given that the same wire is bent in the shape of square.

We know that perimeter of a square = 4 * side.

= > 66 = 4 * side

= > side = 66/4

= > side = 16.5cm.

We know that Area of square = (side)^2 = (16.5)^2 = 272.5cm^2.

Here,

Area of circle > Area of square.

Therefore, circle encloses more area.

Hope this helps!

Answer 2

Step-by-step explanation:

Circle will enclosed more area

hope it helps you