Brakes Query

[soptom]

I have been lurking on this forum for a while and it has helped me no end, (relay 30, folded sills, reversing lights not staying on, etc) and now need to ask a question myself, I have just had new discs and pads fitted all round on my wifes '96 Galaxy, having just got it back and peering through the steel wheels spokes, it seems that the pads are only touching the discs on the inner edge of the disc not the outer. The pad material seems to taper so I am assuming that in the next couple of hundred miles they will wear down to touch the disc all over. Is this right? Thanks in advance of any help / advice / reassurance.