# Point A is at #(-2 ,-4 )# and point B is at #(-3 ,3 )#. Point A is rotated #(3pi)/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

##### 1 Answer

Mar 20, 2018

Increase in distance due to the rotation of point A is

#### Explanation:

Point A rotated about origin by

To find change in distance between Ab due to rotation of point A.

Using distance formula,

Increase in distance due to the rotation of point A is