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Wednesday, January 21, 2009

Properties of Angles in a Circle

Property 1
The angle at the centre of a circle is twice the angle at the circumference if both angles stand on the same arc.













Find the value of the pronumeral in the following circle centred at O.
Solution:







Property 2
The angle in a semi-circle is a right angle.
Every angle at the circumference subtended by the diameter of a circle is a right angle triangle.













Find the value of the pronumeral in the following circle centred at O.
Solution :






Property 3
Angles in the same segment of a circle are equal.





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