Triangles in circles.

Discrete Mathematics Level pending

Imagine a circle of radius \(6cm\). Now, pick any 3 points on the circumference of the circle and connect them to form a triangle. What is the probability that the area of the triangle you have formed is \(\geq 47cm^{2}\)?

Assumptions: Your answer should be \(\leq 1\) and should be in decimal form.

If you arrive at a decimal with more than 3 decimal places, round it off the 3 decimal places and enter that as your answer, else just enter your answer as it is.

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