### A wireframe is bent into a circle of diameter 56 is reshaped as a rhombus. What is the length of the side of the resulting rhombus? (assume π =  227  )

44

Step by Step Explanation:
1. A wireframe of some length was first bent into a circle and then reshaped as a rhombus:
 Wire Circle Rhombus
2. Let us first find the length of the wireframe. We know that the total length of the boundary of a circle is called its circumference and is given by:
Circumference = 2πr, where r is the radius of the circle.
Since the circle is formed by the wireframe, the length of the wireframe = 2πr
= 2 ×
 22 7
× 28 [It is given that the radius of the circle is 56/2 = 28 and π =
 22 7
]

= 176
3. Now, we know that the same wire frame with length 176 is reshaped as a rhombus. A rhombus has 4 sides and all sides are equal. This means the length of a side of the rhombus will be 176 divided by 4. That is:

 176 4

= 44
4. Thus the length of the side of the resulting rhombus is 44.