A decagon is a polygon that has 10 sides and 10 interior angles ("deca" comes from the greek "deka" which means 10; the part "gon" is from the greek "gonia" for "corner or angle". So "decagon" means "10 corners" or "10 angles")
A regular decagon has each exterior angle equal to 36 degrees. To find this, you would divide 360 over 10. The formula you use is E = 360/n E = 360/10 E = 36 Where n is the number of sides and E is the exterior angle measure. Keep in mind this formula only works for regular polygons. The polygons must have the same side length all around, and the angles must be congruent as well.
First, we want to convert 700 feet to inches:700 feet (12 inches/ft) = 8400 inchesWe know that the diameter is 16 inches, so the circumference is 16π inches or 50.3 inches.We can divide 8400/50.3 to get about 167.1 rotations.
