An isosceles triangle is inscribed in a circle of radius $r$. Find the maximum area of this triangle

Question

An isosceles triangle is inscribed in a circle of radius $r$. Find the maximum area of this triangle in terms of $r$.

Accepted Answer

$\frac{3}{4}\sqrt{3}\,r^2$ units²

The Maximum Area of An Isosceles Triangle Inscribed In A Circle