Maths-

General

Easy

Question

# A copper wire when bent in the form of a square encloses an area of 121 cm^{2}. If the same wire is bent into the form of a circle, find the area of the circle.

Hint:

### Perimeter of circle = Perimeter of circle

## The correct answer is: 154 cm2

### It is given that Area of Square = 121 cm^{2}

(side)^{2 }= 121 cm^{2}^{}

side = = 11 cm

Perimeter of square = 4 × side

= 4 × 11 = 44 cm

Now, since same wire is used to make circle it implies that perimeter of square which is the length of the wire will be equal to perimeter of the circle.

Perimeter of circle = Perimeter of square

2 r = 44

2 () r = 44

r = 7 cm

Now, Area of circle = r^{2}

= × 7^{2} = 22 × 7 = 154 cm^{2}

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