Answer:
Option (D). [tex]\frac{\pi }{4}[/tex]
Step-by-step explanation:
Perimeter of a square is given by the expression,
P = 4(Side)
Since length of a side of the given square = 2r
P = 4(2r)
= 8r
Circumference of a circle is represented by,
C = 2πr
Ratio of the Circle' circumference and perimeter of the square = [tex]\frac{C}{P}[/tex]
[tex]\frac{C}{P}=\frac{2\pi r}{8r}[/tex]
= [tex]\frac{\pi }{4}[/tex]
Therefore, Option (D) represents the ratio of circumference of the circle and perimeter of the square.
