Split a tilted shape in in half

[80sTherapy]

I'm trying to split this shape in half as shown in red in the attached screenshot, but I'm not sure how to do this. It's in a square and straight container, and the node tool doesn't seem to be stopping at the shape's symmetrical middle along the path. 

[Ron P.]

Have you tried using the Knife tool?

[firstdefence]

You can also use a straight curve and the boolean divide option.

Create a line curve from the centre of the donut shape and use the transform panel to accurately rotate the curve, make sure the transform origin is positioned at the end of the curve (centre of donut)

Select both the curve and the shape you want to cut and use the boolean divide option.

You should end up with the shape cut into two parts.

[80sTherapy]

12 hours ago, Ron P. said:

Have you tried using the Knife tool?

I haven't, but it doesn't look like the knife tool can detect a tilted shape's geometric center. 

[firstdefence]

42 minutes ago, 80sTherapy said:

I haven't, but it doesn't look like the knife tool can detect a tilted shape's geometric center. 

The knife tool has no precision, so it's certainly not surgical, more skilled butchers.

[Aammppaa]

3 hours ago, firstdefence said:

The knife tool has no precision, so it's certainly not surgical, more skilled butchers.

I must confess that I don't get the Knife Tool at all! There always seems to be a better option in my work. If it followed the usual snapping rules, then perhaps I'd have a use for it. And maybe it is suited to other styles such as more organic shapes. 

Does anyone have a good video that shows the power of the Knife over other tools such as Shape Builder, Pen Tool, Boolean operations, etc?

[loukash]

10 minutes ago, Aammppaa said:

Does anyone have a good video that shows the power of the Knife