Or another way if you do this often
1. Say your image is A and about 2000 x 1333 pixels.
2. Make a new document B about 10% the size - I used 300 x 300 pixels.
3. Choose the selection tool and with B active draw a very small circle and fill it with a color not generally found in your image As.
3. Selections > Invert
4. Right click B layer and Promote Background Layer.
5. Hit the Delete key and you will have your small circle in B with a transparent background.
6. Objects > Align > Centre in canvas - you now have your small circle in the centre of that image B. Selections None.
7. Left click on Layer B and drag the thumb over onto A and release. It is copied and pasted as a new layer centred in A
8. Choose Selection tool. You can now use this tiny centered circle to place your cursor and draw your larger selection from that centre point.
You can save B as a png or pspsimage in a place easily accessed to copy and paste on future images A.
The following image shows my results.
Or another method
Starting with image A
1. Make a new transparent raster layer
2. Selection tool draw your circle approximately in the centre and fill it with black
3. Turn off the visibility of layer A. - Leaves you with a black circle of the size you want approximately in the centre.(really does not matter where it is so long as you have the full circle.
4. Selections none.
5. Objects > Align > Centre in canvas
6. Using the majic wand tool select the black circle and hit the delete key.
7. Turn on the visibility of layer A. You now have your selected circle exactly in the centre of the image.
Systems available Win7, Win 8.1,Win 10 Version 1607 Build 14393.2007 & version 1809 Build 17763.615