Radar Scanner 2

Sam is driving a stealth helicopter with maximum speed \(\pi \text{ km/sec}\). His aim is to invade an army base, i.e reach it without getting detected by the radar scanner. He knows that the radar scanner (of the base) has a maximum range of \(1350\text{ km}\), and is in the form of a line (like shown in the picture) which rotates at a rate of 1 degree per second.

Can he make it?

Note: by stealth, I mean that the radar scanner is the only way for the enemy to detect his helicopter.

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