\begin{tikzpicture}
\clip(0,0) circle (2.2cm);
\tkzDefPoint(0,0){o}
\tkzDefPoint(2,0){A}
\tkzDefPoint(-2,0){B}
\tkzDefPoint(80:2){u}
\tkzDefPoint(260:2){ua}
\tkzDefPoint(120:2){v}
\tkzDefPoint(300:2){va}
\tkzDefPoint(200:2){w}
\tkzDefPoint(20:2){wa}
\coordinate (m1) at ($(u)!.5!(ua)$);
\coordinate (m2) at ($(v)!.5!(va)$);
\coordinate (m3) at ($(w)!.5!(wa)$);
\coordinate (cu) at ($(m1)!1.2!90:(ua)$);
\coordinate (cv) at ($(m2)!-1.3!90:(va)$);
\coordinate (cw) at ($(m3)!1.4!90:(wa)$);
\tkzInterCC(cu,u)(cv,v)\tkzGetPoints{q1}{p}
\tkzInterCC(cu,u)(cw,w)\tkzGetPoints{r}{q2}
\tkzInterCC(cv,v)(cw,w)\tkzGetPoints{q3}{q}
\tkzDrawCircle[solid,color=brown](0,A)
\draw[thick,->](89:2)--(90:2);
\draw[thick,->](269:2)--(270:2);
\tkzDrawPoints[size=6](A,B)
\tkzClipCircle(0,A)
\tkzDrawCircle(cu,u)
\tkzDrawCircle(cv,v)
\tkzDrawCircle(cw,w)
\tkzDrawPoints[size=8,fill=red](p,q,r)
\tkzLabelPoints[above](p)
\tkzLabelPoints[above left](r)
\tkzLabelPoints[right](q)
\draw (p) node[below]{$\alpha$};
\draw (q) node[left]{$\beta$};
\draw (r) node[above right]{$\gamma$};
\fill[fill=blue,opacity=0.1] (p) to [bend left=13] (q) to [bend left=10]
(r) to [bend left=15] (p);
\end{tikzpicture}