Question

What is the distance between the following polar coordinates?: `(3,(7pi)/4), (5,(13pi)/8)`

Answer 1

Distance between points is `2.51` unit.

Explanation:

Polar coordinates of point A is `r_1= 3 ,theta_1=(7pi)/4`

Polar coordinates of point B is `r_2=5, theta_2=(13pi)/8`

Distance between points `A and B` is

`D= sqrt(r_1^2+r_2^2-2r_1r_2cos(theta1-theta2)` or

`D = sqrt((9+25+30*cos ((7pi)/4-(13pi)/8))) ~~ 2.51` unit

Distance between points is `2.51` unit [Ans]