Question: Plotting two circles from origo with space filled

Basically I want to plot the following parametric plane:

 

r (u,v) = [ u*cos(v) , u*sin(v) ]    where    u ranges from 1 to 2, and v ranges from 0 to 2*pi.

 

There are some things that has to be done.

- It has to be in 2 Dimensions.

- The axes has to be labelled x and y.

- The edge of the plan must not be rough.

- The entire plane has to have one color. No black stribes etc.

 

I have tried with the following code:

plot3d([u*cos(v),u*sin(v),0],u=1..2,v=-Pi..Pi,axes=boxed,orientation=[-90,0],grid=[2,25],color="NavyBlue",view=[-3..3,-3..3,-1..1]);

Yet it does not meet my four requirements.

 

I hope some of you can help - Sincerely Nicky Torstensson

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