Number of Sides = n Polygon (Same as number of Perimeter (P) Ratio of Perimeter to equilateral triangles) Twice the value of r P/(2r) EQUILATERAL 4V3 (12) / (4V(3)/3) = TRIANGLE r = 12 3 3V(3)/2 = 2.60 SQUARE REGULAR PENTAGON REGULAR HEXAGON REGULAR SEPTAGON REGULAR OCTAGON 4. What did you notice about the Ratio of Total Area to Perimeter for each regular polygon? Did this surprise you? 5. Notice that as the number of sides of a polygon increases, the polygon looks more and more like a circle. What is the formula for the Circumference (Perimeter) of a circle? 6. What is the ratio or the circumference of a circle to the diameter? 7. Use Wolfram | Alpha to reseach the ancient mathematician, Archimedes. Tell where and when he lived