Did you do a soft proof to see it the Color you painted your pirize wheel is within your printers color space.

Post a screen grab of you Photoshop window

Paths do not print in and of themselves.  If you want it to print a line as guide for you to use to cut the shape out, you could stroke it with a very small brush.

-Noel

Here's the image of the saved Shape preset

I just realised that the shape is better made from a triangle and two circles so it correctly fits 1/18th of a wheel.

I'll assume your document is US Letter size with 300 PPI .

You will make a triangle, intersect the outer circle with it, and subtract the inner circle.

1/18th of a circle means the triangle apex must be 20 deg, therefore the ratio of height to width of the triangle is 2.8356.

Create the triangle with the Polygon Tool. In the options bar, set it to Shape mode and New Layer mode. Draw an initial downward pointing equilateral triangle (use shift key to constrain rotation) then enter W 2000 px and H 5671px in the options bar.

Create the outer circle with Ellipse Tool in Shape mode and Intersect Shape Areas mode so that the circle is part of the Shape Layer containing the triangle. Make it whatever size is required.

Create the inner circle with Ellipse Tool in Shape mode and Subtract Front Shape mode so that it is also part of the current Shape Layer.

Centre the circles on the apex of the triangle.

The Shape Layer's Gradient Fill can be set in the options bar when the layer is targeted and any of the Shape/Path tools are active.. I used a radial fill with its Align With Layer option disabled, and dragged its centre to the centre of the circles. It remains editable in case you want to adjust it.

When you save the document, disabling the Maximum Compatibility option will avoid a large amount of storage being consumed in the case of a vector design with algorithmic fill instead of pixels. The doc should be a few KB instead of MB.

Don't beat yourself up. Photoshop is far from being the most efficient tool for creating precisely sized and positioned geometrical shapes.

Some things to check:

1. The document is US Letter size at 300 ppi. Otherwise you will have to appropriately scale the dimensions used for creating the triangle.

2. The initial equilateral triangle is drawn with the Polygon Tool not by clicking the mouse, but by depressing the button then dragging downward while pressing the shift key so that the top edge is constrained to perfect horizontal. Release the button then the shift key and then immediately enter the required width and height in the options bar. Now move the triangle so that its top edge is on the top edge of the document.

3. Paths do not print. The "shape" disappearing from print preview is most likely because you are drawing a Path and not a Shape. Ensure the Path/Shape tool is set to Shape mode, not Path mode, in the options bar before drawing the shape. Otherwise you would have to make a Shape from the Path in order to have something printable.

Tip: Use the View menu to enable snapping to Smart Guides and visibility of Guides. Magenta guides will show as you drag objects into alignment. For example when centering a circle on the apex of the triangle, an inverted T will show when the circle snaps into place.