Efficiently Calculate Radian Circles | Part B Explanation

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Homework Help Overview

The discussion revolves around calculating angles in a geometric context involving circles and triangles, specifically focusing on the relationships between angles DAB and DAC in Part B of a problem related to radian circles.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between angles DAB and DAC, with one participant attempting to derive a value for angle DAB based on their understanding of the problem. Others provide hints to guide the reasoning process.

Discussion Status

The discussion is active, with participants sharing hints and confirming the correctness of calculations. There is an ongoing exploration of angle relationships and congruence in triangles, suggesting a productive direction in understanding the problem.

Contextual Notes

Participants express uncertainty about the methods being used and question the simplicity of their approaches, indicating a need for clarification on the relationships between the angles involved.

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for part b I'm not sure how to do it

any hints on how to do it? I've tried using sine rule etc but I'm just guessing, and I'm pretty sure there is a more simple method.
 
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Hint: What is the relation between the angles DAB and DAC?
 


Ninty64 said:
Hint: What is the relation between the angles DAB and DAC?

Right well I got this, I'm not sure if its right. DAB and DAC are equal so let's call DAB "a", 2pi = 2.2 + 2a so 2pi - 2.2 / 2 = a which is pi - 1.1 = 2.04?
 


That's right, and I believe your math is correct too.

Since all three sides of the triangles are congruent:
[itex]\overline{DB}\cong\overline{DC}[/itex] given
[itex]\overline{BA}\cong\overline{AC}[/itex] because they are the same length
[itex]\overline{AD}\cong\overline{AD}[/itex] trivial, they share a common line
Then the corresponding angles in the triangles must also be congruent.
 

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