Area of the largest triangle that can be inscribed in a semi-circle of radius r units is

(A) r 2 sq. units   (B) 1/2 r 2 sq. units

(C) 2r 2   sq. units   (D) √2 r 2 sq. units

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  1. Chapter 12 Class 10 Areas related to Circles (Term 1)
  2. Serial order wise

Transcript

Question 6 Area of the largest triangle that can be inscribed in a semi-circle of radius r units is (A) π‘Ÿ^2 sq. units (B) 1/2 π‘Ÿ^2 sq. units (C) 2π‘Ÿ^2 sq. units (D) √2 π‘Ÿ^2 sq. units Let’s 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)

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Davneet Singh
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.