Math, asked by sanjanasanjana2795, 4 days ago

A wire is in a circular shape of radius 35 cm .it is bent in the shape of a square . what will be the area of the square formed ​

Answers

Answered by Squishyoongi
13

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Radius of circle = 35 cm

Circumference of circle =  

                                     =  

                                    = 220 cm

A wire is in a circular shape of radius 35 cm if it's bent in the form of square

So, Circumference of circle = Perimeter of square

55 cm = Side

Area of square =  

Hence The area of square is 3025 sq.cm.

Answered by Anonymous
17

The area of the square formed is 3025cm².

Step-by-step explanation:

We are given that a wire is in a circular shape of radius 35 cm, it is bent in the shape of a square.

With this information, we are asked to find out the area of the square formed.

We know that,

→ Circumference of circle = 2πr

By plugging the given value in the formula, we get the following results:

→ Circumference = 2 * 22/7 * 35

→ Circumference = 70 * 22/7

→ Circumference = 10 * 22

Circumference = 220cm

We know that,

→ Perimeter of square = 4 * side

Now, Circumference of circle = Perimeter of square.

By plugging the known value in the formula, we get the following results:

→ 220 = 4 * side

→ side = 220/4

side = 55

Finally, we know that,

→ Area of square = (side)²

By plugging the known value in the formula, we get the following results:

→ Area = (55)²

Area = 3025

Hence, the area of the square formed is 3025cm².

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