Circle Theorems 2 - 2 More Theorems

This applet investigates two more important theorems about circles and angles - the angle at the centre (center) and the angle in a semicircle

Author and programmer: Ron Barrow

UK Years 10-11, Ages 14-16, KS4, Higher GCSE Mathematics - Geometry, Shape and Space

   
           

Instructions below    Waldomaths video   Waldomaths video   Waldomaths video   Waldomaths video    See also:    2 Circle Theorems   Alternate Segment Theorem   Circles and Tangents   Circles and Isosceles Triangles   Circles - Intersecting Chords   Circles - Radii and Chords   Parts of Circles PRINT

[Applet failed to run. No Java plug-in was found.]

How to Use this Applet

You can move the points A, B and C around by clicking them and dragging them with your mouse.
When you start you are looking at the first theorem. As you move the points, notice that the angle B never changes. This is a special rule (theorem) which you should learn. You'll see what the rule is called when you click the "Show Theorem" button. If you select "Theorem 2", the situation is a little more complicated. Look at the relationship between the angle B and the angle at the centre. This shows another theorem. Try to work out the rule before you click the "Show Theorem" button. Enjoy yourself while you practise and learn these theorems by name.