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The circle centered at (2,-1) and with radius 4 intersects the circle centered at (2,8) and with radius sqrt(14) at two points A and B. Find AB^2.

 May 15, 2021
 #1
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AB^2 = 22.

 May 15, 2021
 #2
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I don't understand how they can intersect.

 

Their centers are on a vertical line 9 units apart (from -1 to 8).

 

The first circle has a radius of 4 while the second circle has a radius less than 4.

 

How can they intersect?

 May 15, 2021

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