The conversation between human and AI assistant.
In the xy-plane, what is the length of the shortest path from (0,0) to (12, 16) that does not go inside the circle (x -6) 2 + (y -8) 2 = 25?
Okay, how do we find the line segment between the two points?
We can use the distance formula. The distance formula is the square root of the quantity of the difference of the x-coordinates squared plus the difference of the y-coordinates squared. So the distance between (0,0) and (12,16) is sqrt((12-0)^2 + (16-0)^2) = sqrt(12^2 + 16^2) = sqrt(400) = 20.