Regular polygons and circles

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LOGO challenge 9 - overlapping polygons

Age

7 to 16

Challenge level

This LOGO challenge starts by looking at 10-sided polygons then generalises the findings to any polygon, putting particular emphasis on external angles
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Circles in circles

Age

16 to 18

Challenge level

This pattern of six circles contains three unit circles. Work out the radii of the other three circles and the relationship between them.
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Overlapping circles

Age

7 to 11

Challenge level

What shaped overlaps can you make with two circles which are the same size?
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Shedding some light

Age

7 to 11

Challenge level

Make an estimate of how many light fittings you can see. Was your estimate a good one? How can you decide?
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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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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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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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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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LOGO challenge 11 - more on circles

Age

11 to 16

Challenge level

Thinking of circles as polygons with an infinite number of sides - but how does this help us with our understanding of the circumference of circle as pi x d? This challenge investigates this relationship.
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LOGO challenge 12 - concentric circles

Age

11 to 16

Challenge level

Can you reproduce the design comprising a series of concentric circles? Test your understanding of the realtionship betwwn the circumference and diameter of a circle.