How Much Shorter is the Straight Line?

Geometry Level 5

Consider a sphere of radius R=9R=9 centered on the origin (x,y,z)=(0,0,0)(x,y,z) = (0,0,0). Find the minimum path length from (8,4,1)(8,4,1) to (3,6,6)(-3,-6,-6), subject to the constraint that the path must not leave the sphere's surface.

Enter your answer as the ratio of this distance to the straight-line distance between the two points.

×

Problem Loading...

Note Loading...

Set Loading...