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
The Doll that Came Straight from Fairyland The Doll that Came Straight from Fairyland "The Doll That Came Straight From Fairyland" is a short story for children published in 1898 by the suffragist and children's fairytale writer Evelyn Sharp. The first edition was published by John Lane in London, England, in "All The Way To Fairyland" with seven other short stories. Evelyn Sharp was born in 1869 and was the ninth of eleven children. She had three years of schooling in London where she made her living. Evelyn's first publication was an article about fairy tales which led to "Wymps and other Fairy Tales" (1896) and "All