# What is the distance between the following polar coordinates?:  (5,(17pi)/12), (9,(11pi)/8)

Jun 10, 2018

$D \approx 4.095$ units

#### Explanation:

Polar coordinates of point A is:

${r}_{1} = 5$ and ${\theta}_{1} = \frac{17 \pi}{12}$

Polar coordinates of point B is:

${r}_{2} = 9$ and ${\theta}_{2} = \frac{11 \pi}{8}$

Distance between points A and B can be found using:

D=sqrt(r_1^2+r_2^2-2r_1r_2cos(theta_1-theta_2)

D=sqrt(5^2+9^2-2*5*9cos(((17pi)/12)-((11pi)/8))

$D \approx 4.095$ units