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## Main Question or Discussion Point

Hi all,

How can I calculate the minimum distance between the perimeter of a disk in 3d space and a point above the disk? (the point can be inside or outside the area above the disk)

I've been trying to work this out for a while, but i'm getting no where.

For example, a point at (1,1,1) and a disk with center (0,0,0) and radius 0.5. The distance between the centers is:

[tex]\sqrt{(1-0)^{2}+(1-0)^{2}+(1-0)^{2}} = \sqrt{3} \approx 1.73[/tex]

But how can I work out the shortest distance from the point to a point on the perimeter of the disk?

Thanks!

http://imageshack.us/a/img838/5558/aujg.jpg [Broken]

How can I calculate the minimum distance between the perimeter of a disk in 3d space and a point above the disk? (the point can be inside or outside the area above the disk)

I've been trying to work this out for a while, but i'm getting no where.

For example, a point at (1,1,1) and a disk with center (0,0,0) and radius 0.5. The distance between the centers is:

[tex]\sqrt{(1-0)^{2}+(1-0)^{2}+(1-0)^{2}} = \sqrt{3} \approx 1.73[/tex]

But how can I work out the shortest distance from the point to a point on the perimeter of the disk?

Thanks!

http://imageshack.us/a/img838/5558/aujg.jpg [Broken]

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