From Winter v. NRDC, No. 07-1239 (Nov. 12, 2008):

There is an exponential relationship between radius length and surface area (Area = πr2). Increasing the radius of the shutdown zone from 200 to 2,200 yards would accordingly expand the surface area of the shutdown zone by a factor of over 100 (from 125,664 square yards to 15,205,308 square yards).

Once again, we see that even successful lawyers don’t know enough math. Just because there’s an exponent in the equation doesn’t make the relationship exponential. That there is a quadratic relationship.

This is an embarrassing mistake, or at least it ought to be, like referring to the plaintiff and defendant as “offender” and “defender.” The terms are valid, but not in this context.

Hat tip to Ken; the Volokh commenters are also on the case.