Two gears are adjusted so that the smaller gear drives the larger​ one, as shown in the figure. If the smaller gear rotates through an angle of 270​º, through how many degrees will the larger gear​ rotate?   Small gear 3.5 cm Large gear 6.9 cm    270 degrees is 3pi/2    3.5(3pi/2)  = 16.493361....   My question is how do I convert the exact answer in radians on my graphing calculator ( I have the TI-84 plus)    the answer I know is 21pi/4 but I don't know how to get that answer.    What do I need to do to convert the decimal of the exact number of 16.493361... to 21pi/4 ??  Thank you so much for helping me.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Two gears are adjusted so that the smaller gear drives the larger​ one, as shown in the figure. If the smaller gear rotates through an angle of
270​º,
through how many degrees will the larger gear​ rotate?
 
Small gear 3.5 cm Large gear 6.9 cm 
 
270 degrees is 3pi/2 
 
3.5(3pi/2)  = 16.493361....   My question is how do I convert the exact answer in radians on my graphing calculator ( I have the TI-84 plus)   
the answer I know is 21pi/4 but I don't know how to get that answer. 
 
What do I need to do to convert the decimal of the exact number of 16.493361... to 21pi/4 ??  Thank you so much for helping me.   
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