A) \[{{R}_{1}}+{{R}_{2}}=R\]
B) \[{{R}_{1}}+{{R}_{2}}>R\]
C) \[{{R}_{1}}+{{R}_{2}}<R\]
D) Nothing definite can be said about the relation among \[{{R}_{1}},\,{{R}_{2}}\]and R.
Correct Answer: A
Solution :
According to the given condition, |
Circumference of circle |
= Circumference of first circle |
+ Circumference of second circle |
\[\therefore \,\,\,\,2\pi R=2\pi {{R}_{1}}+2\pi {{R}_{2}}\] |
\[\Rightarrow \,\,\,\,R={{R}_{1}}+{{R}_{2}}\] |
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