A copper wire of 54 cm is moulded into a square find the side of a square
Answers
Answer:
The side of the square is 13.5 cm
Step-by-step explanation:
Given :
A copper wire of 54 cm is moulded into a square.
To find :
the side of the square
Solution :
The length of the copper wire is 54 cm
When the copper wire is moulded into a square, the length of the wire is equal to the perimeter of the square.
Let 'a' be the side of the square.
Perimeter of the square = 4(side)
Perimeter of the square = 4a
The length of the wire = Perimeter of the square
54 cm = 4a
a = 54/4
a = 13.5 cm
Therefore, the side of the square is 13.5 cm
Answer:
Step-by-step explanation:
Given, Total length of the wire=44cm
∴ The circumference of the circle=2πr=44cm
⇒2×
7
22
×r=44
⇒r=
2×22
44×7
=7cm
Now, Area of the circle=πr
2
=
7
22
×7×7=154cm
2
Now the wire is converted into square,
Then perimeter of square=44cm
⇒4× side=44
⇒ side=
4
44
=11cm
Now, area of square=side×side=11×11=121cm square
Therefore, on comparing the area of circle is greater than that of square, so the circle enclosed more area.