Geometry SAT Problem: Area of Smaller Circle with Bisected Angle | Homework Help

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SUMMARY

The discussion centers on a geometry problem involving a right circular cone and two circles centered at point A on its base. The angle ABC measures 60°, and the line segment BD bisects this angle. The key misunderstanding arises from the incorrect assumption that BD also bisects line segment AC. The correct approach requires recognizing that bisecting an angle does not imply dividing the opposite side into equal segments.

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Homework Statement


A right circular cone is drawn above, with 2 circles centered at A on its base as shown. AB is the height of the cone, the measure of <ABC is 60° and BC has a length of y. If BD bisects <ABC, which one of the following gives the area of the smaller circle in terms of y?

http://imgur.com/JgrevjM

Homework Equations



none

The Attempt at a Solution


Included in the picture

Could you explain what I did wrong, and how to get the correct answer? Thanks
 
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BD doesn't bisect AC.
 
Doesn't bisecting cause the bisecting thing to bisect the line segment from where the angles end?
 
It bisects the angle ABC, it does not cut the line AC in half (which seems to be what you are using)
 

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