GRE
GRE Quantitative Reasoning Section

Distance Between Circle Centers and Intersection

Very Hard Geometry Circles

Let circle O have a radius of 8 units and be centered at the origin (0,0). A point A lies on the circumference of circle O at coordinates (8,0).

Another circle, circle P, has a radius of 5 units and is centered at point B, which is at coordinates (6, 0).

What is the distance between the centers of circle O and circle P?

Also, evaluate the relationship between the radii of circles O and P and the distance between their centers to determine if the circles intersect.

Hint

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