Tuesday, January 13, 2015

Circle Theorems

Play around with these so that you become familiar with the different shapes and patterns.

Interactive animations on circle theorems and corollaries.

Four things to know about angles and circles.

1. The angle at the centre is twice the angle on the circle that marks out the same arc - the diagram below shows different examples of this.



2. Angles  standing on the same arc are equal.
3. The angle in a semi-circle is a right angle (the angle on a diameter is a right angle).

4. The sum of the opposite angles in a cyclic quadrilateral is 180.






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