pls find the length of side of square step by step
Answers
Answer:
The length of the side of the square will be 44 cm
Step-by-step explanation:
It is given that a wire is bent to form a circle of radius 28 cm. And, rebent to form a square.
As we are given with the radius of the circle, we can easily get the circumference( sum of outer length of the wire ) of the circle.
And, as we are rebent the same wire, its length can't be change.
Therefore the circumference of the circle should be equal to the perimeter of the square.
From the properties of square and circle :
Circumference of circle = 2π radius
Perimeter of the square = 4 x side
Therefore,
= > 2π radius = 4 side
= > 2 x ( 22 / 7 ) x 28 cm = 4 x side
= > 44 / 7 x 28 cm = 4 side
= > ( 44 x 28 cm ) / ( 7 x 4 ) = side
= > 44 cm = side
Hence the length of the side of the square will be 44 cm