Efficiently Calculate Radian Circles | Part B Explanation

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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.