



OK, now
let's say we have an angle



that
starts outside a circle. 


Like this
... 











In this
trick, the calculation goes like this ... 











Example: 


Find X
... 








If the
unknown piece is outside the circle 


the math
is a little trickier. 


To solve
one like that, 


sometimes
you need the quadratic formula ... 





Example: 


Find X
... 








Negative
numbers don't help here, 


so we
just need ... 











copyright 2005 Bruce Kirkpatrick 
