In the middle of the triangle
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No, there are two circles (incircle, circumcircle) associated with triangles and in general the locations of their centres are different.
Yes, but which centre: the centroid, incentre or orthocentre? You need the incentre.
The use of concentric circles is most commonly used on a target. Concentric circles are placed around a target in which each concentric circle has the same center.
That depends upon how the circles are located and the relationship between the numbers that are placed in the circles; unless the circles just happen to make a number, for example: .............. ..O.O.O.... ..........O.. ........O.... ......O...... ....O........ is a 7 regardless of what digits are placed in the circles.
That depends how the circles are placed on the page and what lines are defined between the circles.