A certain circular area has its center at point P and has a radius 4, and points x and y lie in the same plane as the circular area. Does point y lie outside the circular area?
1. The distance between point P and point x is 4.5
2. The distance between point x and point y is 9
The largest distance between two points in a circle is the diameter, which is 8.
1.) x lies outside of the circle. No information given for y. y can be in or out of the circle.
2.) y can be in or out of the circle.
Combined, since x is 0.5 unit outside of the circle and the maximum distance between two points is 8, y must lie outside of the circle.