Regular polygons and circles

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First forward into Logo 4: circles

Age

7 to 16

Challenge level

Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
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First forward into Logo 2: polygons

Age

7 to 16

Challenge level

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

Age

7 to 11

Challenge level

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

Age

14 to 16

Challenge level

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?
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Central distance

Age

11 to 14

Challenge level

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

Age

7 to 11

Challenge level

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

Age

14 to 16

Challenge level

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

Age

11 to 14

Challenge level

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

Age

11 to 14

Challenge level

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?
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Nonagon angle

Age

11 to 14

Challenge level

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