# Point A is at #(5 ,2 )# and point B is at #(2 ,-4 )#. 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

Feb 6, 2018

New coordinate of

Reduction in distance due to rotation around origin is

#### Explanation:

Point A (5,2), Point B (2, -4)

Point A rotated by

Point A moves from Quadrant I to Quadrant II

Distance formula

Reduction in distance due to rotation around origin is