The area of the largest triangle that can be inscribed in a semi-circle of radius r, is :

A. r²

B. 2r²

C. r³

D. 2r³

Answer: Option A

Solution(By Examveda Team)

Required area :
$$\eqalign{ & = \frac{1}{2} \times {\text{Base}} \times {\text{Height}} \cr & = \left( {\frac{1}{2} \times 2r \times r} \right) \cr & = {r^2} \cr} $$