If you have two closed shapes on the Cartesian plane, that are intersecting how could you find the area that they take up total?

I am looking for an answer based on the The equation that defines the shapes.

An example of a closed shape is a circle, because it does not have any holes in it and it connects to its beginning

So for example how would you find the area of two intersecting circles given you know the equations that Define them?( but I'm not talking about just circles I'm talking about any closed shape how would we find the total area they're taking up if they are intersecting)


closed as unclear what you're asking by Travis, Leucippus, Arnaldo, Daniel W. Farlow, Lord Shark the Unknown Jun 17 '17 at 4:38

Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ Please note : "cateashion plane" $\to$ "CARTESian plane" (from the name of René DesCARTES) $\endgroup$ – Jean Marie Jun 17 '17 at 0:04
  • $\begingroup$ To answer the point about finding areas: are you familiar with integrals? To answer the point about intersections: are you familiar with the inclusion-exclusion principle? I think any answer to your question will be based on those ideas. However, to make your question better, consider choosing a particular example and show how you are trying to solve the problem. $\endgroup$ – M_B Jun 18 '17 at 18:21