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
Circle Line Downtown Circle Line Downtown Circle Line Downtown is a sightseeing harbor cruise company that operates out of the South Street Seaport Pavilion Pier at the Financial District in Manhattan under Harbor Experience Companies. Circle Line Downtown was established by President J.B. Meyer, third generation owner and operator of the family that founded the company and Circle Line Sightseeing Cruises brand. In 1953, Frank Barry, Gerald O'Driscoll, Helen Mitchell, William Moran, and Frank Clair founded Circle Line, the nautical sightseeing operation, providing cruises which circled Manhattan. The company's fleet was then a collection of modified craft, including surplus landing crafts from World