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
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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.
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.