Question 6
Area of the largest triangle that can be inscribed in a semi-circle of radius r units is
(A) π^2 sq. units (B) 1/2 π^2 sq. units
(C) 2π^2 sq. units (D) β2 π^2 sq. units
Letβs consider semi-circle with radius r
With Diameter AB
Now,
Area of Triangle = 1/2 Γ Base Γ Height
= 1/2 Γ 2r Γ r
= r2 sq units
So, the correct answer is (A)

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.