The Area of the Largest Triangle that Can Be Inscribed in a Semi-circle of Radius R is - Mathematics

MCQ

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

Options

• 2r

•  r2

• r

• $\sqrt{r}$

Solution

The triangle with the largest area will be symmetrical as shown in the figure.

Let the radius of the circle be r.

Hence,

ar (ΔABC)=1/2 (r)(2r)

= r^2"sq.unit"

Is there an error in this question or solution?

APPEARS IN

RD Sharma Class 10 Maths
Chapter 13 Areas Related to Circles
Q 17 | Page 70