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Riddles?
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    11-06-2006 02:00PM#1
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![[Deleted User]](/applications/dashboard/design/images/defaulticon.png)
 
                                            





 
                                            






 on the circle. Then draw a line from A through the centre until it hits the circle, and do the same from B. Call these new points A' and B'. Then in order for the triangle to contain the centre of the circle, the third point C must lie within the minor arc A'B'. This segment is the exact same size as minor arc AB. Therefore the probability of C being on minor arc A'B' is the same as it being on minor arc AB. This is equal to the proportion of the circumference that minor arc AB represents. Then all it takes it to know that any line will cover an average 90 degrees of the circle - and there's the answer (90/360).
 on the circle. Then draw a line from A through the centre until it hits the circle, and do the same from B. Call these new points A' and B'. Then in order for the triangle to contain the centre of the circle, the third point C must lie within the minor arc A'B'. This segment is the exact same size as minor arc AB. Therefore the probability of C being on minor arc A'B' is the same as it being on minor arc AB. This is equal to the proportion of the circumference that minor arc AB represents. Then all it takes it to know that any line will cover an average 90 degrees of the circle - and there's the answer (90/360).
