Problem:
Find the distance, from the circle center to a line, where the line dissects the circle into areas of 3/4 and 1/4.
Any help with a formula, such that I can calculate this distance for various circle diameters would be greatly appreciated. I could add a pictures, if I have not described my problem clearly.
Regards,
Ken
Thank you very much earboth, for the quick reply.
So, for me to solve for h, am I understanding this correctly?
Is it possible for you to further assist me in simplifying this, so I can solve for h? Sorry, but I just don't understand where to begin...
I cannot tell you how appreciative I am.
Ken
Hello,
all those nice formulae I gave you lead to monstrous equation which I cann't handle anymore.
So I decided to go back to the roots: I considered a half-circle to be the graph of a function
Then I used integration
Then the height of the segment must be
I've attached a screenshot of the calculations (which were made by my computer)