BooleanRegion

BooleanRegion[bfunc, {reg1, reg2, ...}] represents the Boolean combination of regions.

Examples

Intersection of circles:

c1 = Disk[{0, 0}, 1];
c2 = Disk[{0.5, 0}, 1];
BooleanRegion[And, {c1, c2}]

Union:

BooleanRegion[Or, {c1, c2}]

Please visit the official Wolfram Language Reference for more details.