Area of a circle Archimedes is not rigorous by modern standards, because it assumes that we can compare the length of arc of a circle to the length of a secant and a tangent line, and similar statements about the area, as geometrically evident. The area of a regular polygon is half its perimeter times the apothem. As the number of sides of the regular polygon increases, the polygon tends to a circle, and the apothem tends to the radius. This suggests that the area of a disk is half the circumference of its bounding circle times the radius. Following Archimedes' argument in "The
A Fish Called Selma Guy", in order to get a better representation of his performance. Throughout "A Fish Called Selma", it is hinted that Troy engages in strange sexual activity. The writers initially did not know what the "unsavory" sexual preference would be, but eventually decided on a fish fetish, a suggestion from executive producer James L. Brooks, since it was "so perverted and strange, that it was over the top". At the episode's table reading, an attendee exclaimed that the line, "from now on she's smoking for two" has "got to go" from the script; however, her request was denied. On the walls