How can I make a shape defined in SVG path d attribute to rotate?

I have this path M -13 11 A 17.81 17.81 0 0 0 14 11 L 41 30 A 50 50 0 0 1 -39 29 Z which is a shape like 1/4 of a circle that I want to make it rotate around the center.
So far what I tried was to compare the same shape rotated at 10 deg increments and see if any pattern emerges. I noticed that the values are incremented and decremented in relatively same quantities. At a 10 deg rotation they move about 2 points. But is not exact and when I tried to increment the values like that I got slightly distorted shape. Here same shape with 30 deg rotatian:
M -19 17 A 17.81 17.81 0 0 0 18.5 5 L 50 9 A 50 50 0 0 1 -57 47 Z

The nature of my project only allows me to use the d attribute to modify shapes. How can I rotate an SVG by only manpulating the path d attribute?