I haven't had a tear and my babies weren't big, but I was told with both of mine that they would be big babies - DS was estimated at 3kg at around 33wks with the fundal height always measuring at least 3 weeks ahead and everyone saying he would be big. I was induced at 41+3 and he was born 41 & 1/2 hours later at 41+5 by emergency c-sec after both of us became taccychardic (really low blood pressure) and his head had become stuck against my pelvic bone and wouldn't budge any further than being able to see the top of his head while pushing. DS was born weighing only 8pound 3 (3.774kg) with a HC of 34cm.
With DD I wanted a VBAC, but was diagnosed with gestational diabete's at 32wks, everyone including my OB, the Midwives and the Endocrinologist kept on saying she wsa going to be a big baby because of the GD and the fact I was on insulin to manage it. At 37wks at had a scan that estimated that DD weighed 7pound 9.
DD was born at 40+2, by successful VBAC after 3wks of constant irregular contractions after they ruptured the membranes and weighed only 8pound (3.65kg), with a HC of 34cm.
Just thought I'd share as their estimates of weight can be wrong