# How do you create a keyhole contour not centered at the origin?

I've been trying to create a keyhole contour where the keyhole is a tiny circle in say, the first quadrant, and the main circle is still centered at the origin. I'm specifically not trying to create a keyhole contour where the keyhole is at the origin, and can't seem to find how to do that. I've been playing around with it for a while, but can't make anything work. Does anybody have any tips?

Thanks!

Edit: Here's what I'm trying to create:

• Welcome to TeX.SX! Please could you share what you have done so far in the form of a minimal working example (MWE). This makes it easier both for us to understand what your issue is and provide solutions/suggestions. – Dai Bowen Apr 13 '17 at 20:42
• Show us what you have been playing around! – Symbol 1 Apr 13 '17 at 20:44
• Show us also what you wanted to achieve (a photo of an hand-written drawing could be enough), please! – CarLaTeX Apr 13 '17 at 20:47
• @CarLaTeX I added a photo of what I'm going for (a poorly drawn one, I might add). I can't figure out how to make the keyhole look like that though, for every guide I've seen for drawing keyhole contours makes has the keyhole at the origin. – David Bowman Apr 14 '17 at 0:52
• As you can see, Zarko has already answered. If his answer meets your needs, remember to upvote and accept it. Otherwise, please add a minimal working example to your question. Thank you! – CarLaTeX Apr 14 '17 at 2:47

Like this:

In image is considered $sin{alpha} ~ \alpha$ (at small \alpha) and ratio between angles of hole in locus is about 8:

\documentclass[tikz,
border=3mm,
]{standalone}
\usetikzlibrary{arrows.meta, decorations.markings}

\begin{document}
\begin{tikzpicture}[>=Straight Barb,
decoration={markings,% switch on markings
mark=between positions 0.2 and 0.8 step 0.25 with {\arrow[thick]{>}},
mark=at position 0.86 with {\arrow[thick]{>}},
mark=at position 0.98 with {\arrow[thick]{>}}

}]
% curve
\draw[fill=gray!10, postaction={decorate}]
(47.5:2) arc (47.5:360:2   ) arc (0:42.5:2)
-- + (225:0.5) arc (25  :0  :0.25) arc(360:65:0.25) -- cycle;
% singularity
\fill[red]  (45:1.25) circle (1pt) node[inner sep=2pt,font=\footnotesize,right] {$a$};
\draw[thick, ->] (0,0) -- node[sloped,above] {$r$} (330:2);
\draw[->] (-3,0) -- (3,0) node[right] {$\Re$};
\draw[->] (0,-3) -- (0,3) node[above] {$\Im$};

• @DavidBowman, you didn't provide anything about what you try so far nor about your document. So, with not knowing preamble of your document and \documentclass{...} I can't say anything what is going wrong at you :(. Image size is 4cm x 4cm ... – Zarko Apr 14 '17 at 3:01
• @DavidBowman Maybe, x and y are set to non-default values. Then, it helps to reset them: \begin{tikzpicture}[x=1cm, y=1cm]. – Heiko Oberdiek Apr 14 '17 at 4:15