Area of a circle to eight sides and so on. For a polygon with 2"n" sides, the parallelogram will have a base of length "ns", and a height "h". As the number of sides increases, the length of the parallelogram base approaches half the circle circumference, and its height approaches the circle radius. In the limit, the parallelogram becomes a rectangle with width "r" and height "r". There are various equivalent definitions of the constant π. The conventional definition in pre-calculus geometry is the ratio of the circumference of a circle to its diameter: However, because the circumference of a circle is not a
The Doll that Came Straight from Fairyland a cannon and a magical balloon, but only replies that his godmother should give him what she thinks best. In response, Fairy Zigzag instead asks Princess Pansy what she would like. Princess Pansy asks for a fine clay doll. The Fairy Zigzag creates a magical doll straight from fairyland and then leaves the party. The Prince is left without a gift from his fairy godmother. Princess Pansy names the doll Lady Emmelina and in the days following the party becomes bewitched by the doll. Prince Perfection gets jealous of Lady Emmelina when his sister no longer plays with him. Missing