Question

A copper wire of length 44 cm is to be bent into a square and a circle. Which will have a larger area?​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Circle has greater area.

Step-by-step explanation:

Given :

• The length of the copper wire is 44 cm.

• It is bent into a square and a circle.

To find :

which shape will have a larger area

Solution :

• Bent into a square :

As it is bent into the square, the length of the copper wire is equal to the perimeter of the square.

Perimeter of the square = 44 cm

4 × side = 44 cm

  side = 44/4

  side = 11 cm

Area of the square = (side)²

 = 11 cm × 11 cm

 = 121 cm²

• Bent into a circle :

As it is bent into the circle, the length of the copper wire is equal to the circumference of the circle.

Circumference of the circle = 44 cm

2πr = 44

2(22/7) (r) = 44

 44r/7 = 44

  r = 7 cm

Area of the circle = πr²

   = (22/7) × 7 cm × 7 cm

   = 22 × 7

   = 154 cm²

154 cm² > 121 cm²

Area of the circle > Area of the square