What is the distance between the following polar coordinates?: # (5,(17pi)/12), (9,(11pi)/8) #

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Answer 1 · 2018-06-10T16:29:45

#D~~4.095# units

Polar coordinates of point A is:

#r_1=5# and #theta_1=(17pi)/12#

Polar coordinates of point B is:

#r_2=9# and #theta_2=(11pi)/8#

Distance between points A and B can be found using:

#D=sqrt(r_1^2+r_2^2-2r_1r_2cos(theta_1-theta_2)#

#D=sqrt(5^2+9^2-2*5*9cos(((17pi)/12)-((11pi)/8))#

#D~~4.095# units