NDA Maths Mock Test – 01 – Q56

What is the maximum area of a triangle that can be inscribed in a circle of radius a?

• (3√3 a²) / 4 sq units
• a² / 2 sq units
• (3a²) / 4 sq units
• (√3 a²) / 4 sq units

‘
‘ For area to be maximum triangle inscribed in the circle must be equilateral triangle.
B c
‘ Gi√en, radius of the circle = a
1 .”. Side of the equilateral triangle = /3a 1
‘ .”. Area of the equilateral triangle
Bo: /3
= F(side)? = 4 (V3a)? !
3,2
‘ = EL $q units ‘