Regular polygons and circles

Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?

This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.

Look at the mathematics that is all around us - this circular window is a wonderful example.

Weekly Problem 5 - 2006
How many times does the inside disc have to roll around the inside of the ring to return to its initial position?

Weekly Problem 1 - 2006
The diagram shows two circles enclosed in a rectangle. What is the distance between the centres of the circles?

Can you reproduce the Yin Yang symbol using a pair of compasses?

Make different quadrilaterals on a nine-point pegboard, and work out their angles. What do you notice?

Weekly Problem 50 - 2012
The diagram shows a regular dodecagon. What is the size of the marked angle?

Weekly Problem 52 - 2012
An irregular hexagon can be made by cutting the corners off an equilateral triangle. How can an identical hexagon be made by cutting the corners off a different equilateral triangle?

Weekly Problem 53 - 2012
ABCDEFGHI is a regular nine-sided polygon (called a 'nonagon' or 'enneagon'). What is the size of the angle FAE ?