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Answer 1 · 2017-01-05T09:42:40

The annular border-inclusive annular region
# 2-pi/2 <=x^2+y^2<=2+pi/2# is the mapping of (x, y), for the range #[-pi/2, pi/2]#..

Use # arc cos a in [-pi/2, pi/2]#

Here, #a = x^2+y^2-2#.

Range is #[ -pi/2, pi/2}. The mapping of (x, y) for this range is upon

the annular region

# 2-pi/2 <=x^2+y^2<=2+pi/2#

Graph is inserted.

graph{(x^2+y^2-3.57)(x^2+y^2-.43)=0 [-10, 10, -5, 5]}