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how to calculate no of common tangents to two circles can you explain with an eg?

how to calculate no of common tangents to two circles can you explain with an eg?

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2 Answers

ng29
1698 Points
6 years ago
d=r1+r2  3 common tangents                                   d is distance between centres of two circles
d>r1+r2  4 commom tangents
d
 
approve if useful
approve if useful
Nishant Vora IIT Patna
askIITians Faculty 2467 Points
6 years ago
Actually there are several cases
If circles touch internally → number of common tangents = 1

If circles touch externally → number of common tangents = 3

If circles do not touch → number of common tangents = 4

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