Is there a way to shade only the inner loop of a polar equation in Desmos?

Ex: r=1+2cos(theta). I want only the smaller, inner loop to be shaded.

Not with one click of a button, but you can select a portion of a polar equation to shade if you make a separate inequality with different bounds for theta. Here is your example - Limacon shading

*Note that this example has a couple additional modifications because the inner loop corresponds to theta between 2pi/3 and 4pi/3, where r is negative. Desmos only shades regions with positive r values, so the absolute value and adding/subtracting of pi from theta and the bounds is a workaround to graph the same region with only positive r values.

Perfect. Thanks for the quick response!