Answer:
fourth quadrant.
Step-by-step explanation:
First, let us see how many 2 pi radians are there in 40 pi /7. The answer is found by dividing 40 pi / 7 by 2 pi


Meaning ( 40 pi / 7 ) / ( 2pi ) = 2 Remainder 6
Meaning there are 2 complete revolutions in ( 40 pi / 7 ).
How about the revolution that is incomplete?
Now,



Which if we plot, looks like
Meaning that 40 pi / 7 lies in the fourth quadrant.