# Homework Help: Irregular Cone Geometry

1. Mar 6, 2010

### Appity

1. The problem statement, all variables and given/known data

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

2. Relevant equations

$$A=\pi ab$$

3. 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.

2. Mar 6, 2010

### tiny-tim

Hi Appity!

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