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Using GeoGebra
Never used GeoGebra before? This article for complete beginners will help you to get started with this free dynamic geometry software.
Regular polygons and circles
problem
Circular Area
Age
7 to 11
Challenge level
How could you find out the area of a circle? Take a look at these ways.
problem
Gaudi's Design
Age
11 to 16
Challenge level
Eight lines are drawn in a regular octagon to form a pattern. What fraction of the octagon is shaded?
problem
Olympic rings
Age
5 to 7
Challenge level
Can you design your own version of the Olympic rings, using interlocking squares instead of circles?
problem
A rational search
Age
16 to 18
Challenge level
Investigate constructible images which contain rational areas.
problem
Sports Equipment
Age
7 to 11
Challenge level
If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?
problem
Shaping It
Age
5 to 11
Challenge level
These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
problem
Contact Circles
Age
14 to 16
Challenge level
These four touching circles have another circle hiding amongst them...
problem
Circle Time
Age
14 to 16
Challenge level
Three circles of different radii each touch the other two. What can you deduce about the arc length between these points?