Question

a wire is in the shape of a square with each side as 16.5 cm is bent in the shape of a circle find the circumference and diameter of the circle ​

Answer 1

Question:-

A wire is in the shape of a square with each side as 16.5 cm is bent in the shape of a circle find the circumference and diameter of the circle .

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Given:-

• The wire which was in shape of a square with each side 16.5cm was bent in the shape of a circle.

To find :-

• The circumference

• Diameter of the circle.

$\huge\sf{Solution:-}$

As we know

[Perimeter of the square = Circumference of the circle.]

$\sf\boxed{Perimeter\: of\: the \:square \:= \:4 \:×\: side}$

⇒4 × 16.5 .

⇒66cm .

Therefore,the circumference of the circle is also 66cm.

⇒ 2πr = 66cm .

⇒ 2 × $\frac{22}{7}$ × r = 66cm .

⇒ $\frac{44}{7}$× r = 66cm .

⇒ r = $\frac{66}{1}$ × $\frac{7}{44}$

⇒ r = 1.5 × 7 .

∴ r = 10.5 cm .

We know that,

The diameter of a circle is double the length of it's radius.

Thus,diameter = 10.5 × 2 .

$\huge\boxed{21\:cm}$

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