
Posted by Denis Borris on 25/6/2009, 1:40 pm
Circle with center (5,5) is tangent to x-axis and y-axis (in top right quadrant).
Point A is on circle's circumference at(0,5), point P is inside circle at (4,7),
and point B is on circle's circumference at (x,y).
If length line AP + length line BP = length Arc AB (the one above circle's center), what is x and y ?
I got, (5digits accuracy):
x = 4.68624, y = 9.99014
(Arc = 7.54002, theta = 86.40225)
BUT I had to resort to iteration.
Can anybody solve this directly?



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