Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Three equal circles each of radius r touch one another. The radius of the circle touching all the three given circles internally is -
A
(2 + 
) r
) r
B
r
C
r
D
(2 – 
) r
) r
Text Solution
Verified by ExpertsThe correct answer is:
B
Δ DEF is equilateral with side 2r if radius of circum circle DEF is R1, then
Area of Δ DEF = 
(2r)2 = 
r2
r2 = 
⇒ R1 = 
∴ Radius of the circle touching all the three given circles = r + R1
= r + 
= 
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