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(CHALLENGING )Trigonometry / geometry proof 
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#1
Mar210, 10:16 PM

P: 14

Hey guys I've spent a couple hours on this without even coming close. I'm hoping someone here can drop me a hint.
From the above image I need to proof that GL is R(THETA) in length. The only other information I have is that GT extended is a type of sheet (metal sheet) balancing and "rocking" forward and backward on the circular structure of radius R (cylinder). Hints or help or links would be of HUGE assistance. Thanks in advance! 


#2
Mar310, 03:29 AM

Sci Advisor
HW Helper
P: 4,300

Is there anything to prove?
If you have a circle of radius R, then a circular segment with angle theta has length R theta. That's about the definition of radians (a unit circle goes around 2pi radians, and has circumference 2pi). If you let G' be the marked point on the cylinder below G (near which the label for c is written), then G'T along the circle has length R theta. Since G is a point on the circle with center T which also goes through G' (as indicated by the circular arc), GT is also R theta. 


#3
Mar310, 03:59 AM

P: 14

Thanks that makes sense. Anyone else have a proof for what was stated above?



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