Published by:
CGP EDU Academic Team
Published on: August 13, 2026
In an equilateral triangle the in-radius and the circum-radius are connected by :
A
r = 4R
B
r = 
C
r = 
D
None
Text Solution
Verified by ExpertsThe correct answer is:
B
Δ being isosceles the base angles are 30 0 each as
< A = 120 o
By sine rule 
...............(i)
or α = b 
Also from the figure, r = 
∴ 
= tan 15 o = 2 – 
or 
= α ,
b = 
∴ area = 
ab sin 30 0 = 
= 
= 
(7 + 
) = 12 + 
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