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Circles with centers of (2,2) and (17,10) are both tangent to the x-axis. What is the distance between the closest points of the two circles?

 Apr 6, 2020
 #1
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The first  circle  has  radius   of 2

The second circle  has a radius  of 10

 

The distance between  the  centers   = √ [ (17-2)^2  + ( 10-2)^2] = √[ 15^2  + 8^2] = √289   =17

 

The  distance  between  the closest two points on the circles = 17 - 2 -10  =  5 units

 

See the image here :

 

 

 

cool cool cool

 Apr 7, 2020

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