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here are five identical circles can you draw a straight line that divides their total area equally pause and Ponder on this for a bit okay so the reason this puzzle might feel difficult is that the circles are not arranged symmetrically this fifth Circle here is just jutting out causing all the trouble but what if we were able to bring symmetry into this figure say we had a sixth Circle placed here can we divide the total area into two equal parts now quite easily you could cut vertically like this or horizontally like this or diagonally like this or this now this last line not only cuts the total area into two equal parts but also cuts the sixth Circle equally so if I take away these two parts this line must cut the remaining area ID as well and so this is a required line now can you try doing the same for this image [Music]