\definecolor{qqwuqq}{rgb}{0,0.39215686274509803,0}
\definecolor{ududff}{rgb}{0.30196078431372547,0.30196078431372547,1}
\definecolor{xdxdff}{rgb}{0.49019607843137253,0.49019607843137253,1}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,scale=0.5,every node/.style={transform shape}] %every node/.style={scale=0.6}]
\draw [shift={(-2.7242408994434544,3.0104836026458477)},line width=0pt,color=qqwuqq,fill=qqwuqq,fill opacity=0.10000000149011612] (0,0) -- (-99.38083625827915:0.6338613605662275) arc (-99.38083625827915:-38.66936949066439:0.6338613605662275) -- cycle;
\draw [shift={(2.72,3.01)},line width=0pt,color=qqwuqq,fill=qqwuqq,fill opacity=0.10000000149011612] (0,0) -- (-141.5071791356825:0.6338613605662275) arc (-141.5071791356825:-80.76373611879568:0.6338613605662275) -- cycle;
\draw [line width=0.4pt] (0,0) circle (4.060110835925542cm);
\draw [line width=0.4pt] (-3.5477563161670616,-1.974316368036472)-- (3.534394591307023,-1.998137851335504);
\draw [line width=0.4pt] (-3.5477563161670616,-1.974316368036472)-- (-2.7242408994434544,3.0104836026458477);
\draw [line width=0.4pt] (-2.7242408994434544,3.0104836026458477)-- (3.534394591307023,-1.998137851335504);
\draw [line width=0.4pt] (-3.5477563161670616,-1.974316368036472)-- (2.72,3.01);
\draw [line width=0.4pt] (2.72,3.01)-- (3.534394591307023,-1.998137851335504);
\draw (-0.1651296409379702,4.902044906250167) node[anchor=north west] {$K$};
\begin{scriptsize}
\draw [fill=xdxdff] (-3.5477563161670616,-1.974316368036472) circle (2.5pt);
\draw[color=xdxdff] (-4.179584924524078,-2.2288954001198484) node {$P_1$};
\draw [fill=xdxdff] (3.534394591307023,-1.998137851335504) circle (2.5pt);
\draw[color=xdxdff] (4.1,-2.1866379760821) node {$P_2$};
\draw [fill=xdxdff] (-2.7242408994434544,3.0104836026458477) circle (2.5pt);
\draw[color=xdxdff] (-3.080891899542617,3.5181142690139127) node {$P_3$};
\draw [fill=ududff] (2.72,3.01) circle (2.5pt);
\draw[color=ududff] (3.0675632979497904,3.581500405070535) node {$P_4$};
\draw[color=qqwuqq] (-2.4,2.) node {$\alpha$};
\draw[color=qqwuqq] (2.3,2) node {$\beta$};
\end{scriptsize}
\end{tikzpicture}