 Hello and welcome to the session. In this session we will discuss the construction of circles in and about a regular hexagon. First of all we will see how to construct a circle about a regular hexagon. Suppose we are given a regular hexagon dq i u outside say 3.5 centimeters. So we need to construct a circle about this regular hexagon and follow side 3.5 centimeters hexagon u with all its sides of measures 3.5 centimeters. Now since we are supposed to construct a circle about a regular hexagon, hexagon, not the perpendicular bi-hexagon, so in the next step effectively we will build these perpendicular bi-sectors intersect at the point o is the circum-center of the regular hexagon p q r s t u in the same way we can find out the circum-center for any regular polygon. Now in the next step we are going to construct this t u to o p. We are drawn this through the vertices t u of the regular hexagon and then could be drawn in the same way by taking the circum-center as the center and the radius equal to the distance between the circum-center to regular polygon at 3.5 centimeters. Of the circle in a regular hexagon the circum-center of the angular bi-sectors often have a circle in a regular hexagon. See u outside 3.5 centimeters. Now next we need to have a circle so that we can draw the circle in this regular hexagon. In the next step effectively on the q where both the regular hexagon and would be draw a circle again which in this case is equal to regular hexagon. As with the circle the side 3.5 centimeters is t u as it touches all the sides of the regular hexagon. Be patient with your circles in and about the regular hexagon.