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## Main Question or Discussion Point

If someone asks me what the area of a circle is, should I respond:

(1) pi*r^2

(2) As a circle in the plane is defined as the set of all points in the plane that lie r units from O, so it does not technically have an area, but you probably mean the area of the surface that the circle encloses, alternatively the area of corresponding disc which is pi*r^2.

?

How pedantic can one reasonable be? Until others start complaining? How do I know? Should I ask? How can I become less pedantic in my social relationships?

(1) pi*r^2

(2) As a circle in the plane is defined as the set of all points in the plane that lie r units from O, so it does not technically have an area, but you probably mean the area of the surface that the circle encloses, alternatively the area of corresponding disc which is pi*r^2.

?

How pedantic can one reasonable be? Until others start complaining? How do I know? Should I ask? How can I become less pedantic in my social relationships?