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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

  • \[\sqrt{r}\]

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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?
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APPEARS IN

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