What is the distance between the following polar coordinates?: (3,(pi)/4), (2,(7pi)/8) (3,π4),(2,7π8)

1 Answer
Feb 8, 2018

Distance between points is 4.19 4.19 unit.

Explanation:

Polar coordinates of point A is r_1= 3 ,theta_1=pi/4r1=3,θ1=π4

Polar coordinates of point B is r_2=2, theta_2=(7pi)/8r2=2,θ2=7π8

Distance between points A and BAandB is

D= sqrt(r_1^2+r_2^2-2r_1r_2cos(theta1-theta2)D=r21+r222r1r2cos(θ1θ2) or

D = sqrt((9+4-2*3*2*cos (pi/4-(7pi)/8))) ~~ 4.19 D=(9+4232cos(π47π8))4.19 unit

Distance between points is 4.19 4.19 unit [Ans]