What is the distance between #(4 ,( - 3pi)/8 )# and #(7 ,( 3 pi )/4 )#? Trigonometry The Polar System Polar Coordinates 1 Answer Anjali G Nov 7, 2016 #d=sqrt(81pi+576)/8# #d approx 3.6022# units Explanation: #(4,(-3pi)/8)# and #(7,(3pi)/4)# #(4,(-3pi)/8)# and #(7,(6pi)/8)# Distance formula: #d=sqrt((y2-y1)^2+(x2-x1)^2)# #d=sqrt([((6pi)/8)-((-3pi)/8)]^2+[7-4]^2)# #d=sqrt[(81pi)/64 + 9]# #d=sqrt[(81pi+576)/64]# #d=sqrt(81pi+576)/8# #d approx 3.6022# units Answer link Related questions What are Polar Coordinates? How do you find the polar coordinates of the point? What is the difference between a rectangular coordinate system and a polar coordinate system? How do you graph polar coordinates? What careers use polar coordinates? How do you plot the point #A (5, -255^\circ)# and the point #B (3, 60^\circ)#? What does a polar coordinate system look like? How do you find the distance between 2 polar coordinates? For the given point #A(-4, frac{pi}{4})#, how do you list three different pairs of polar... How do you find the rectangular form of #(4, -pi/2)#? See all questions in Polar Coordinates Impact of this question 1419 views around the world You can reuse this answer Creative Commons License