欧博abgGimp: How to warp an image to take shape of p
Using Filter>Distorts>Polar coordinates
I assume the real goal is to map the image to a sector, and that the path is not really necessary.
If we apply the Polar coordinates filter to a square image:

We get this:

The final image is the same size as the initial image
The whole image is wrapped on a full circle (360°)
The height of the image is mapped on a radius, so everything is shrunk by a factor of two
The width of the image is mapped on a circumference. Things at the top are shrunk to zero, things at the bottom are widened by Pi, and things in the middle are widened by Pi/2. So, if we want a 60° sector:
We scale the image by 2 vertically, and by 2/Pi horizontally. Our 400x400 image becomes a 255*800 image:

Since 60° is one sixth of a circle we scale the canvas to 6x the width, while keeping it square: 1530x1530 and center the image layer in it (for display purpose the image is scaled down, and transparency replaced by black, but this is not part of the process):

The layer is made as big as the canvas:
To ensure it is filled with transparency: Layer>Transparency>Add alpha channel
Then Layer>Layer to image size
And we apply the Polar coordinates (for display purpose the image is scaled down, and transparency replaced by black, but this is not part of the process):

From which we can extract the part of interest: Image>Zealous crop
