B D.

asked • 12/22/14

central angle and inscribed angle

hi .. i want to know if we can call the angle BOA central angle or not ;becouse if we extend the line OA to become radius it will be central angle and the same on the inscribed angle DCE ;if we extend the line CE to become chord it will be inscribed angle .

David W.

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B, I am having a difficult time picturing what you are talking about. Know that the central angle has to be directly on the center and the inscribed angle has to be directly on the edge of the circle.
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12/22/14

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Byron S. answered • 12/22/14

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Hi,
 
Without a picture to see, it's difficult to tell, but from your description, I think both answers are no.
 
The vertex of a central angle must be the center of the circle. It is not enough for one of the sides of the angle to be a radius, both must be.
 
The vertex of an inscribed angle must lie on the edge of the circle. Any angle in a circle could have its sides extended to become a chord. Only those where the chords intersect on the edge are inscribed angles.
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B D.

i don't know how can i attach the picture !!
Activity did yesterday at the school for the central angle, through the explanation of it i gave them example for not central angle , one side is radius and the other is not radius, but my teacher told me it can be central angle, because if we extend the other side to become radius it will be same, i told him you are right but they will have the same measure but not the same name ,to become central angle there are conditions.
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12/22/14

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