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RegionMember

Tests whether a point lies in a region. Disk and Ball are solid (the boundary is included), while Circle and Sphere are just the boundary curve/surface.

$ wo 'RegionMember[Disk[{0, 0}, 1], {0.5, 0.5}]'
True

$ wo 'RegionMember[Disk[{0, 0}, 1], {2, 0}]'
False

$ wo 'RegionMember[Rectangle[{0, 0}, {2, 3}], {1, 1}]'
True