\documentclass[12pt]{article}

\usepackage{tikz,tkz-euclide}
\usetikzlibrary{positioning}
\usetikzlibrary{patterns,fadings}
\usetkzobj{all}

\usepackage{pgf,tikz,pgfplots}
\pgfplotsset{compat=1.15}

\definecolor{luma-red}{rgb}{0.949019607843137, 0.400000000000000, 0.309803921568627}
\definecolor{luma-purple}{rgb}{0.576470588235294, 0.384313725490196, 0.600000000000000}
\definecolor{luma-blue}{rgb}{0.019607843137255, 0.647058823529412, 0.772549019607843}
\definecolor{luma-green}{rgb}{0.196078431372549, 0.643137254901961, 0.450980392156863}
\definecolor{luma-gold}{rgb}{0.976470588235294, 0.643137254901961, 0.329411764705882}

\tikzfading[name=fade right,
  left color=transparent!0, right color=transparent!100]

\makeatletter
\pgfdeclareradialshading[tikz@ball]{ring}{\pgfpoint{0cm}{0cm}}%
{rgb(0cm)=(1,1,1);
rgb(0.719cm)=(1,1,1);
color(0.72cm)=(tikz@ball);
rgb(0.9cm)=(1,1,1)}
\tikzoption{ring color}{\pgfutil@colorlet{tikz@ball}{#1}\def\tikz@shading{ring}\tikz@addmode{\tikz@mode@shadetrue}}
\makeatother

\pgfdeclareradialshading{myshading}{\pgfpointorigin}{%
color(0mm)=(pgftransparent!0);%
color(4mm)=(pgftransparent!20);%
color(6mm)=(pgftransparent!50);%
color(7mm)=(pgftransparent!80);%
color(8mm)=(pgftransparent!100)%
}
\pgfdeclarefading{myfading}{\pgfuseshading{myshading}}
\usetikzlibrary{fadings,shapes.geometric}

\begin{document}
\thispagestyle{empty}
~

~

\vspace{5cm}
\hspace{5cm}
\begin{tikzpicture}[remember picture,overlay,scale=5]

% A path that follows the edges of the current page
\tikzstyle{reverseclip}=[insert path={(current page.north east) --
  (current page.south east) --
  (current page.south west) --
  (current page.north west) --
  (current page.north east)}
]

\coordinate (o) at (0,0);
\coordinate (d) at ($(o)+(-82:1)$);
\coordinate (e) at ($(o)+(-154:1)$);
\coordinate (a) at ($(o)+(-226:1)$);
\coordinate (b) at ($(o)+(-298:1)$);
\coordinate (c) at ($(o)+(-10:1)$);

\begin{scope}
\begin{pgfinterruptboundingbox}
\path [clip] (a) circle (0.7265cm) [reverseclip];
\path [clip] (c) circle (0.7265cm) [reverseclip];
\end{pgfinterruptboundingbox}
\filldraw[color=luma-red] (b) circle (0.7265cm);
\end{scope}

\begin{scope}
\begin{pgfinterruptboundingbox}
\path [clip] (b) circle (0.7265cm) [reverseclip];
\path [clip] (d) circle (0.7265cm) [reverseclip];
\end{pgfinterruptboundingbox}
\filldraw[color=luma-purple] (c) circle (0.7265cm);
\end{scope}

\begin{scope}
\begin{pgfinterruptboundingbox}
\path [clip] (c) circle (0.7265cm) [reverseclip];
\path [clip] (e) circle (0.7265cm) [reverseclip];
\end{pgfinterruptboundingbox}
\filldraw[color=luma-blue] (d) circle (0.7265cm);
\end{scope}

\begin{scope}
\begin{pgfinterruptboundingbox}
\path [clip] (d) circle (0.7265cm) [reverseclip];
\path [clip] (a) circle (0.7265cm) [reverseclip];
\end{pgfinterruptboundingbox}
\filldraw[color=luma-green] (e) circle (0.7265cm);
\end{scope}

\begin{scope}
\begin{pgfinterruptboundingbox}
\path [clip] (e) circle (0.7265cm) [reverseclip];
\path [clip] (b) circle (0.7265cm) [reverseclip];
\end{pgfinterruptboundingbox}
\filldraw[color=luma-gold] (a) circle (0.7265cm);
\end{scope}
%\fill[inner color=white,path fading=fade right] (0,0) circle (2);
%\filldraw[shading=ring, ring color=red] (0,0) circle (2.2cm);

\fill[white,path fading=myfading] (0,0) circle (1cm);
\end{tikzpicture}

\end{document}