Revoke personal claim

[Fosfor]

Wiki says: Lawspeakers may revoke personal claims inside the village claim, at a cost of about 250 authority per square of the personal claim.

Is there some exact equation for calculation of cost of authority? Is the function relating to the cost of authority linear (e.g. one square costs 250 A, ten squares cost 2,500 A, 100 squares cost 25,000)?

[Drawman]

That's exactly as you said,
If I'm remembering it right.