circle-circle intersection check | Desmos

Hidden Label: "B" equals left parenthesis, 7.1 3 , 0.7 6 , right parenthesis

Label

8

Expression 9: "r" Subscript, 2 , Baseline equals 2

0

10

9

Expression 10: distance left parenthesis, left parenthesis, "x" , "y" , right parenthesis , "B" , right parenthesis equals "r" Subscript, 2 , Baseline

10

Expression 11: left parenthesis, "x" minus "B" . "x" , right parenthesis squared plus left parenthesis, "y" minus "B" . "y" , right parenthesis squared equals "r" squared

11

Expression 12: "x" squared minus left parenthesis, 2 "B" . "x" , right parenthesis "x" plus "B" . "x" squared plus "y" squared minus left parenthesis, 2 "B" . "y" , right parenthesis "y" plus "B" . "y" squared minus "r" squared equals 0

12

Expression 13: distance left parenthesis, left parenthesis, "x" , "y" , right parenthesis , "A" , right parenthesis less than or equal to "r" Subscript, 1 , Baseline left brace, distance left parenthesis, left parenthesis, "x" , "y" , right parenthesis , "B" , right parenthesis less than or equal to "r" Subscript, 2 , Baseline , right brace

13

positive iff circles intersect

14

Expression 15: "r" Subscript, 1 , Baseline plus "r" Subscript, 2 , Baseline minus distance left parenthesis, "A" , "B" , right parenthesis

equals

1.3 9 0 3 3 4 2 7 7 4

15

16

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