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Irregular Cone Geometry

  • Thread starter Appity
  • Start date
  • #1
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0

Homework Statement



I'm wondering whether or not it is possible to get the area of the base of an elliptical, non-right cone if the following two parameters are known:

- length from center of ellipse up to vertex
- angle that the sides make

Here is a simple visual: http://i.imgur.com/M6jT5.png

Homework Equations



[tex]A=\pi ab[/tex]

The Attempt at a Solution



I've tried looking at geometry guides with no success. I'm thinking I might be able to use some clever trig and drop a right angle down from the vertex in order to get the length of the semi-minor/major axis, but I can't reason it out. any advice would be appreciated.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,832
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Hi Appity! :smile:

Hint: slice the cone so that you get a circular cross-section, then use trig to find the area of the projection. :wink:
 

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