Suggest a method to draw an object as in figure using four Bézier curves of suitable degree

Answer: Employ four quartic Bézier curves with the endpoint of one as the initial point of the next Bézier curve and the endpoint of fourth as the initial point of the first Bézier curve as shown using black dots in Figure. Other white dots are internal control points for the individual Bézier curves.   

To get the coordinates of control points, place it on a graph paper and approximately find out the coordinates. Remember that you are only approximating the arcs and this approximation is not exact. Reason - Circle cannot be reproduced by Bézier curves.