Plotter apparatus and methods for drawing a polygon inscribed within a circle

A plotter apparatus configured to inscribe a polygon in a circle, the plotter apparatus comprising;

• a ruler body comprising a knap extending substantially perpendicular from one end of the ruler body, wherein the ruler body further comprises a first ruler groove and a second ruler groove extending along a length of the ruler body;
• a first slider configured to slide through the first ruler groove, wherein the knap and the first slider define a first mouth piece;
• a second slider configured to slide through the second ruler groove, wherein the knap and the second slider define a second mouth piece;
• a plurality of brachiums pivotally connected across the ruler body, a first brachium pivotally connected to the first slider at a first pivot, and a second brachium pivotally connected to the first brachium at a second pivot, a distal end of the second brachium pivotally connected to the ruler body at a third pivot, a third brachium pivotally connected on a length of the first brachium at a fourth pivot, the second brachium and third brachium comprising a series of predetermined holes designated with numbers in arithmetic progression, a fourth brachium selectively connected on one of the holes on the second brachium at a fifth pivot, the third brachium and the fourth brachium connected at a sixth pivot defined by an intersection of the third brachium and the fourth brachium;
• and
• a nib member configured to be positioned on the second slider, the nib member configured to draw the circle with the knap as a center, wherein the first mouth piece is opened to enclose on a diameter of the circle, and the fourth brachium is attached to a predetermined numbered hole on the second brachium and the third brachium according to the number of sides required on the polygon, and the second slider is positioned along an intersection of the fourth brachium and the first ruler groove to determine a length of each side of the polygon on the second mouth piece, wherein cyclic arcs are drawn along a circumference of the circle with the determined length as a length of one side of the polygon, wherein arc intersections on the circle are joined together to define the polygon.