Answer:
Option D. 8
Step-by-step explanation:
In the given circle circumference of the circle is = 72.
Since circumference of the circle = 2πr
Therefore 2πr = 72
πr = [tex]\frac{72}{2}=36[/tex]
r = [tex]\frac{36}{\pi }[/tex]
Angle at center formed by minor arc XY = 40° = [tex]2\frac{\pi }{9}[/tex]
Length of minor arc XY = [tex]r\theta[/tex]
= [tex]\frac{36}{\pi }.(\frac{2\pi }{9})[/tex]
= [tex]\frac{72\pi }{9\pi }=8[/tex]
Therefore option D. 8 is the correct option.
