Question

A wire is in the shape of a square of side 4cm which is bent to form a circle. Find circumference of circle

Answer 1

Answer:

16 cm

Step-by-step explanation:

perimeter of the square is equal to the circumference of the circle

Answer 2

$\large\red{\underline{\underline{\bf{\blue{Given}}}}}$

• Side of Square = 4cm

• Wire is bent from shape of Square to form a circle.

$\large\red{\underline{\underline{\bf{\blue{To Find}}}}}$

• Circumference of Circle

$\large\red{\underline{\underline{\bf{\blue{Solution}}}}}$

We know that,

➠ Perimeter of Square = 4a, where a = side of Sq

➠ Length of Wire = Perimeter of Square

➠ Length of Wire = 4×4 = 16cm

Now,

It is given that,

➨ Wire is bent into circle so their is no change in length of wire.

Thus,

➠ Circumference of Circle = Perimeter of Square

➠ Circumference of Circle = Length of Wire

So,

➠ Circumference of Circle = 16 cm

More Formulas :-

✞ Square ➘

• Area of Square = a²

• Perimeter of Square = 4a

• Diagonal = √2a

✞ Circle ➘

• Circumference of Circle = 2πr

• Area of Circle = πr²

• Diameter (d) = 2r