# Point A is at #(-1 ,-4 )# and point B is at #(-3 ,-1 )#. Point A is rotated #pi/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

Decrease in distance due to the rotation of A about origin by

#### Explanation:

Point A rotated about origin by

Using distance formula between two points,

Decrease in distance due to the rotation of A about origin by