Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If a right-angled Δ ABC of maximum area is inscribed within a circle of radius R, then-
A
Δ = 2R 2
B
+ 
+ 
= 
C
r = ( 
– 1) R
– 1) R
D
s = (1 + 
)R
)R
Text Solution
Verified by ExpertsThe correct answer is:
B
For a right-angled triangle inscribed in a circle of radius R,
the length of the hypotenuse is 2R. ∴ the area is maximum
when the triangle is isosceles with each side = 
R.
∴ s = 
(2 
+ 2) R = ( 
+ 1)R
∴ Δ = 
R. 
R = R 2 ⇒ 
= 
+ 
+ 
= 
+ 
+ 
= 
= 
= 
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