What is the distance between polar coordinates #(-2, 300^circ)# and #(2, 10^circ)#? Precalculus Polar Coordinates Finding Distance Between Polar Coordinates 1 Answer sankarankalyanam Jul 9, 2018 #color(indigo)("Distance " d ~~ 3.2766# Explanation: #d = sqrt (r_1^2 + r_2 ^2 - 2 r_1 r_2 cos (theta_1 - theta_2))# #(r_1, theta_1) = (-2, 300^@), (r_2, theta_2) = (2, 10^@)# #d = sqrt(-2^2 + 2^2 - 2 * -2 * 2 * cos (300-10)# #d = sqrt (8 + 8 cos 290) ~~ 3.2766# Answer link Related questions What is the formula for the distance between two polar coordinates? How do I find the distance between polar coordinates #(2, 50^circ)# and #(5, -50^circ)#? How do I find the distance between polar coordinates #(3, 60^circ)# and #(5, 145^circ)#? How do I find the distance between the points with polar coordinates #(3, 120^circ)# and #(0.5,... How do I find the distance between the points with polar coordinates #(2, 120^circ)# and #(1, 45^circ)#? How do I find the distance between the points with polar coordinates #(2, 10^circ)# and #(7, 10^circ)#? What is the distance between polar coordinates #(2, 120^circ)# and #(1, 150^circ)#? What is the distance between polar coordinates #(-4, -30^circ)# and #(3, 250^circ)#? What is the distance between polar coordinates #(7, -150^circ)# and #(4, 130^circ)#? What's the difference in finding the distance between two polar coordinates and two rectangular... See all questions in Finding Distance Between Polar Coordinates Impact of this question 4343 views around the world You can reuse this answer Creative Commons License