A circle has centre $O$ and radius 6 . $P , Q$ and $R$ are points on the circumference with angle $P O Q \geq \frac { \pi } { 2 }$ The area of the triangle $P O Q$ is $9 \sqrt { 3 }$ What is the greatest possible area of triangle $P R Q$ ?
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A circle has centre $O$ and radius 6 .
$P , Q$ and $R$ are points on the circumference with angle $P O Q \geq \frac { \pi } { 2 }$
The area of the triangle $P O Q$ is $9 \sqrt { 3 }$
What is the greatest possible area of triangle $P R Q$ ?