Question: Annulus and annulus crossing

Hi, I have created 2 annulus;

 

> display(sector([2, -5.5], 2.5 .. 3.5, (1/5)*Pi .. (1/2)*Pi, color = "Niagara Burgundy"), axes = none, scaling = constrained);
%;

> display(sector([5, -5], 1 .. 1.5, (1/5)*Pi .. 2*Pi, color = "Green"), axes = none);
 
But I want the green annulus to cross the Niagara Burgundy annulus at the points where the green annulus is open. The green annulus is open with an angle of Pi/5. I want this open side of the annulus to meat with the other annulus. 
LOOK AT THE PIC

annulus

 
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