What is the distance between the following polar coordinates?: # (12,(13pi)/8), (19,(-7pi)/8) #

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Answer 1 · 2016-06-05T02:38:07

#d=sqrt505=22.47220505" "#units

Let #r_1=12# and #r_2=19# and #Φ_2=(-7pi)/8# and #Φ_1=(13pi)/8#

The distance formula for polar coordinates

#d = sqrt( r_1^2 + r_2^2 -2r_1r_2 cos(Φ_2 - Φ_1) )#

#d = sqrt( 12^2 + 19^2 -2(12)(19)*cos((-7pi)/8 - (13pi)/8) )#

#d=sqrt(505)#

#d=22.47220505" "#units

God bless....I hope the explanation is useful.