Press the green flag. A regular polygon and the circles inscribed and described on it. Music: The Beatles - Besame Mucho Regular polygon - red line. A circumscribed circle on a regular polygon - a green line. A circle inscribed in a regular polygon - a blue line With n> 20 these three lines form one circle (light blue)
A regular polygon connects the points P1, P2, ... Pn P1 = (0.150) The next points are created by rotating P1 through the angles: 1 * 360 / n, 2 * 360 / n, ... (n-1) * 360 / n The described circle is drawn as a regular polygon with 36 sides. (R=150 - radius) Radius of the inscribed circle r = R * cos (180 / n) We draw a circle inscribed on a regular polygon as a polygon with 36 sides with the starting point P1 = (0, 150 * cos (180 / n)) Music: The Beatles - Besame Mucho