Basically you can't.
Sector angles and read radius are information, that are not exposed by the average optical drive, you would need to modify the firmware of the drive to send this information to the host.
There is even more: Depending on environmental conditions the drive's view of these parameters might change quite heavily, and production tolerance (most of all the center hole not being exactly at the center of the disk) will make it very hard to use this information, as it will change between different specimens of an identical disk.
Most important: This will not create any copy protection - if you can verify this information, so can someone else, allowing him to use it to create a godd-enough copy.
The fundamental rule is: Any information, that you can extract from the disk to verify its authenticy can also be extracted to copy it - this is the reason, why copy protection schemes work best in locked-down hardware (e.g. game consoles), where the drive firmware really is adapted to it.
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