A circle is inscribed in a regular hexagon with side length 10 feet. The polygon area can be expressed in terms of the area of a triangle. How to draw a regular hexagon inscribed in a circle - YouTube Simple geometry calculator which is used to find the radius of regular hexagon circumscribed circle with the known side values. 10 Question: Find the perimeter of the regular hexagon with one side 12 cm. 1 Formula for calculating radius of a inscribed circle of a regular hexagon if given side ( r ) : radius of a circle inscribed in a regular hexagon : = Digit 2 1 2 4 6 10 F. =. Another circle is drawn to connect all the vertices of the hexagon. We can represent the height by taking one of the triangles and drawing a line down the middle. #A_"circle"=pir^2# It can't be equidistant from everything over here, because this isn't a circle. The following formulas are relations between sides and radii of regular polygon: For the most of regular polygons it is impossible to express the relation between their sides and radii by an algebraic formula. Each internal angle of the hexagon is $120^{\circ}$. quadrilaterals inscribed in a circle. A circle is inscribed within a regular hexagon in such a way that the circle touches all sides of the hexagon at exactly one point per side. Since the triangles are regular, the base is equal to the radius, #18#. Solved Example. A circle is inscribed in a regular hexagon with side length 10 feet. For a hexagon inscribed in a circle, the radius of the circle is equal to the side of the hexagon. If measure of arc AB is 80 degrees, then m