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Hi, here is my geometry problem.
I have two circles, one inside the other. The larger diameter is denoted by D, and the smaller by d. Their centers are eccentric by a distance e. Now, there is a line from the center of the smaller circle to the outside of the larger circle. I have derived an equation for the length of those lines at any given angle from the horizontal. It is:
x = e*cos(a) + 0.5*sqrt(D^2  4*e^2*sin^2(a)).
I hope that makes sense, I'm not sure how to write equations on this forum.
So now, there is another line, 60 degrees from the first line. There is an area bounded by the two lines and the two circles. Can anyone figure out how to find this area? The attachment shows the situation I am talking about. The area colored red is the area in question.
Thanks,
AGordon
I have two circles, one inside the other. The larger diameter is denoted by D, and the smaller by d. Their centers are eccentric by a distance e. Now, there is a line from the center of the smaller circle to the outside of the larger circle. I have derived an equation for the length of those lines at any given angle from the horizontal. It is:
x = e*cos(a) + 0.5*sqrt(D^2  4*e^2*sin^2(a)).
I hope that makes sense, I'm not sure how to write equations on this forum.
So now, there is another line, 60 degrees from the first line. There is an area bounded by the two lines and the two circles. Can anyone figure out how to find this area? The attachment shows the situation I am talking about. The area colored red is the area in question.
Thanks,
AGordon
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