A wire is looped in the form of a circle of radius 28cm. It is re-bent into a square form. Find the length of the side of the square. [Use π = 22/7]
Explanation
To solve this problem, follow these steps:
1. Calculate the circumference of the circle:
The circumference of a circle is given by:
where is the radius of the circle. Given cm and , we can calculate:
2. Find the length of the wire used for the square:
When the wire is re-bent into a square, the length of the wire will be the perimeter of the square. Therefore, the perimeter of the square is also 176 cm.
3. Calculate the side length of the square:
The perimeter of a square is given by:
Let be the side length of the square. We can solve for :
The length of the side of the square is 44 cm.
The correct answer is A. 44 cm.