Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If inside a big circle exactly n(n ≥ 3) small circles, each of radius r, can be drawn in such a way that each small circle touches the big circle and also touch both its adjacent small circles as shown in fig., then radius of big circle is
A
r 
B
C
r 
D
Text Solution
Verified by ExpertsThe correct answer is:
A
(a, d)
If R be its radius then sin ( π /n) = 
⇒ R = r (1 + cosec ( π /n))
⇒ is true whence and are ruled out.
Since 
= 1 + cosec α
Choice also follows.
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