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What is the distance between the closest points of the two circles?

 Dec 7, 2020
 #1
avatar+114221 
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See the graph here  : https://www.desmos.com/calculator/tnnfqay4wv

 

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

 

So....the  closest  distance  between the  circles  =

 

17 - radii of both  circles  =

 

17 - 2 -10  =   

 

5  units

 

cool cool cool

 Dec 7, 2020
 #2
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Here is a formula from essaydune.com to solve this type of problems: C1C2 – r1 – r2

C1C2 is the distance between the centres of the circles

r1  r2 are the circles radii

 Dec 8, 2020

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