What is the distance between #(-3 , (17 pi)/12 )# and #(8 , pi/4 )#?

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Answer 1 · 2018-02-07T17:56:37

#11.595units#

#sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

#:.=sqrt((-3-8)^2+((17pi)/12-pi/4)^2)#

#:.=sqrt((-11)^2+((17pi-3pi)/12)^2#

#:.=sqrt(121+((17pi-3pi)/12)^2#

#:.=sqrt(121+((cancel14^7pi)/cancel12^6)^2#

#:.=sqrt(121+((7pi)/6)^2#

#:.=sqrt(121+(7pi)/6xx(7pi)/6#

#:.=sqrt(121+21.99114858/6xx21.99114858/6#

#:.=sqrt(121+483.6106157/36#

#:.=sqrt(121+13.433628#

#:.=sqrt(134.4336282#

#:.=11.595# units to the nearest 3 decimal places