Question

A wire is looped in the form of a circle of radius 14cm is rebent in the form of a square the length of each side of the square is

Answer 1

Answer:

Length of each side of square is 22cm

Step-by-step explanation:

Radius of wire is 14cm

Perimeter of wire =2πr=2*22*14/7=88

Perimeter of wire =perimeter of square

88 =4a

a =22cm.

Answer 2

Answer:

The side of the square = 22cm

Step-by-step explanation:

Given,

A wire is looped in the form of a circle of radius 14cm and is rebent in the form of a square

To find,

The length of each side of a square

Solution:

The circumference  of a circle = 2πr, where 'r' is the radius of the circle

The perimeter of a square = 4s, where 's' is the side of the square

Since it is given that A wire is looped in the form of a circle of radius 14cm is re-bent in the form of a square,

The total length of the wire is the same in both the case.

That is the perimeter of the wire is the same in both cases.

The perimeter of the loop = The perimeter of the square

The perimeter of the loop = The circumference of the circle

= 2×$\frac{22}{7}$×14

= 88cm

Since, The perimeter of the loop = The perimeter of the square we have

The perimeter of the square = 88cm

4s = 88

s =  22cm

The side of the square = 22cm.

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