The Average Length Of The Choeds Of A Semicircle Domain

Convex domain,the average length verage length of the chord of problem is integral geometry in a very important topic, it application in geometry problems has an important role. Convex,it aslo have wide range of applications background.By means of the notion generalized support function and chord power integral of a convex body in the plane,and we haved studied the average length of the chords,the formula of the average length of a convex set is given,Discussed the semicircle domain and an isosceles trapezoid domain these two kinds of symmetry is not very ideal of convex domain average length between two points in the literature. Ever established category for convex domain, the average length between two points of the universal formula, but did not give detailed derivation. After also appeared many specific results, but only some of the simpler, F is the of convex body K...