A circle is circumscribed around triangle ABC, find length?

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Homework Help Overview

The discussion revolves around finding the lengths of arcs in a circle circumscribed around triangle ABC, with specific angles and radius provided. Participants are exploring relationships between the angles of the triangle and the corresponding arc lengths.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the formula for arc length and its application, questioning how to express arc lengths in terms of the triangle's angles and radius. There are inquiries about the angles subtended at the center and the relationship between these angles and the triangle's geometry.

Discussion Status

The conversation includes attempts to clarify the problem and explore various interpretations of the angles and arc lengths. Some participants have provided guidance on how to approach the problem, while others express confusion about the relationships involved.

Contextual Notes

There are mentions of specific angles and the need to express arc lengths without using trigonometric functions. Participants are also discussing the notation used in the problem, which may be causing some confusion.

  • #31
Buffu said:
Yes sorry it is angle c.

Your figure should be like this :-
View attachment 205456
sorry, but I still have questions regarding that..
the tetha times R is to find Arc AC right?
while tetha is twice angle ABC ?
 
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  • #32
Helly123 said:
sorry, but I still have questions regarding that..
the tetha times R is to find Arc AC right?
while tetha is twice angle ABC ?

For ##2\pi - \theta## not ##\theta## I drew theta other way because it was difficult to draw on the correct side.
 
  • #33
Buffu said:
Yes sorry it is angle c.

Your figure should be like this :-
View attachment 205456
Can i say 2phi - theta = twice angle ABC?
 
  • #34
Helly123 said:
Can i say 2phi - theta = twice angle ABC?

Yes.
 
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  • #35
Try to use the previous arc length equation and the law of cosines to find different arc length segments of the circle and work from there
 
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