Question

3. A wire in the shape of a square, with each
side equal to 15.5 cm, is bent into the
shape of a circle. Find the circumference
and the diameter of the circle.​

Answer 1

Answer:

Circumference =62 cm

Area=240.25 cm square

Step-by-step explanation:

A wire is in a shape of square and same wire is change into the shape of circle

So, the circumference and Area will be same in both.

1. Area of square =side *side

Side = 15.5 cm

Area=15.5*15.5=240.25 cm square.

2. Circumference of Square = 4 (side)

Side=15.5 cm

Circumference = 4*15.5 =62 cm

Therefore,Area and Circumference of Square is equal to Area and Circumference of Circle.

Diameter =?

Let,

diameter = x

Circumference of Circle = 2 pie r.

pie = 22/7

r=d/2

Circumference = 2(22/7)(x/2)

62=2(22/7)(x/2)

62=22/7(x)

62*7/22=x

217/11=x

19.7272=x

Therefore,x=diameter

Diameter = 19.7272cm

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I had done some changes in the question

I forgot to find diameter

Answer 2

Step-by-step explanation:

Perimeter of square = Perimeter of circle

Perimeter of square = 15.5 × 4 = 62.0

Perimeter of circle = 15.5 × 4 = 62.0

Circumference of Circle= 62.0

22/7 × Diameter = 62.0

62.0 ÷ 3.14(22/7) = 19.74

Diameter of Circle = 19.74

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