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Need help: math question


Ramsey

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So i have a cylinder with a 236" diameter.

 

 

 

I cut it at 28.75 degrees.

 

 

 

How can i find the dimensions of the oval surface it creates?

 

tia

 

this may help: i just cant seem to figure it out.

 

area of an ellipse is given by Pi*a*b, where 2*a is the length of the

longer side (measured at its greatest width) and 2*b is the length of

the shortest side (measured at its greatest height).

 

edit: I have the long dist of the plane at 269 3/16"

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If you picture the cylinder from the side, the area cut off would create a right triangle with side b being 236", angle A being 28.75 and angle C being 90. Using the calculator below:

 

http://www.cleavebooks.co.uk/scol/calrtri.htm

 

You can get side c as being 269". Now you know the ellipse has a minor axis of 236" and a major axis of 269". Using the calculator below:

 

http://www.cleavebooks.co.uk/scol/callipse.htm

 

You come to the conclusion that the area of the resulting ellipse is 49,900 sq. in.

 

Hope this helps. I do not remember all of the formulas to do this but I once had a teacher that made sure to point out that a smart man doesn't have all the answers he just knows where to find them.

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