This article is devoted to finding the key geometric characteristics of circular arches by graphical and analytical methods. Also in this article, algorithms for solving the problem of finding geometric characteristics by graphical and analytical methods are analyzed and these methods are compared in terms of speed and ease of use. Today, you can solve geometric problems in numerous graphic editors. Such editors allow you to quickly calculate the necessary geometric characteristics of any design, for this it is enough to draw a drawing in the software package, the required data will be obtained automatically. However, there is another method for solving such problems, for example, using formulas. This method is based on the principle of an algorithm or a sequence of formulas, thanks to which it is possible to obtain unknown characteristics by setting known characteristics, as well as to solve the inverse problem. Also, this method allows you to create software based on the algorithm, which will greatly simplify and speed up the solution of such a task. The purpose of the research described in this article is to create an algorithm for solving problems of finding geometric characteristics of a circular arched structure according to known mathematical formulas, followed by the implementation of this algorithm by programming tools in Excel.

Keywords: arch, geometry, calculation methods, rectilinear segments, rotation angles