Given,

A copper wire when bent in the form of a square encloses an area of 225cm².

To find,

The area of the circle, if the same wire is bent into the form of a circle.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

The area of the square = 225 cm²

Let, the length of the side of the square =

a cm

Area = (axa) = a² cm²

According to the data mentioned in the question,

a² = 225

a = √225

a = 15 cm

So, the length of the side of the square = 15 cm

The perimeter of the square = (4×15) = 60cm

Here, the wire itself is bent into the shape of a square. So. the perimeter of the square will be the length of the wire.

Length of the wire = 60 cm

If the wire is bent into the shape of a circle, then the length of the wire will become the perimeter of the circle.

So, perimeter of the circle = 60 cm

Let, the radius = r cm

Perimeter = 2₁ cm

According to the data mentioned in the question,

2πr: = 60

r = 60/2T

r = 30/π cm

So,

The area of the circle = π × (30/1)² = 900/ π = 900 ÷ (22/7) = 900 × (7/22) = 286.36 cm²

Hence, the area of the circle will be 286.36 cm².

Verified answer

Answer:

616cm square

Step-by-step explanation:

area of the square=484cm square

let the side be X

area of the square=X × X

484 cm square=X square

484cm square=√484=22

perimeter of square=4×22=88

perimeter of square=2πr

88=2πr

r =88/2π =44/22×7 =44×7/22=14 cm

area of circular field =πr square

area of circular field=22/7×14×14 ( 14 divided by 7 and the quotient is 2)

=22×2×14=616 (calculate,you will get 616)

this is absolutely write answer, you can check it

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