How to find arc length, angle from the image?

Dear all,

I want to find the curve length and curve orientaiton from the image. I performed the image segmentation and convert it to biary image (attached is the iamge). How can I measure the angular variation of the curves and the curve angle.

Is there a better way to perform segmentation of the image to see the more sharp and clear curvatures?

how can it be quantitatively/statistically characterise?

Thanks