The triangle of maximum area that can be inscribed in a given circl...

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The triangle of maximum area that can be inscribed in a given circle of radius ' \( r \) ' is :
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[JEE Main-2021 (February)]
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(a) An equilateral triangle having each of its side of length \( \sqrt{3} \mathrm{r} \)
(b) An equilateral triangle of height \( \frac{2 r}{3} \).
(c) A right angle triangle having two of its sides of length \( 2 r \) and \( r \).
(d) An isosceles triangle with base equal to \( 2 r \).
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