Abstract

Arcs are one of the fundamental concepts of circles and are also used in real-life objects such as bridges, jewelleries, buildings, tools etc. In this paper we have proposed theorems for arcs of different circles having the same arc-angles. The proposed theorems have applications in concave/convex surfaces such as lenses and mirrors, buildings, infrastructures, bridges, jewelleries, and mechanical tools such as a sickle.

Keywords: Geometry, Arc, Circle, Area, Arc length, Bridges, Lens, Mirrors, Tools, Solar panels