How does the LHC keep particles accelerated to 99.9% light speed contained?

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sngtdt
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The LHC is acccelerating particles to 99.9% the speed of light, but don't objects approaching the speed of light theoretically also attain infinite mass? So my question is, how would the accelerator keep those particles "roped in"?
 
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Very strong magnets. :smile:

Also a gentle radius of curvature. The LHC's circular path is 2 km in diameter.