What is the distance between #(1 ,( pi)/4 )# and #(4 , ( pi )/2 )#? Trigonometry The Polar System Polar Coordinates 1 Answer Cem Sentin Apr 1, 2018 #sqrt(17-4sqrt2)approx 3.368# Explanation: After using cosine theorem, #sqrt(1^2+4^2-2*1*4*cos(pi/2-pi/4))# =#sqrt(17-4sqrt2)# #approx 3.368# 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 2729 views around the world You can reuse this answer Creative Commons License