Triangles in circles.

Probability Level pending

Imagine a circle of radius 6 c m 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 47 c m 2 \geq 47cm^{2} ?

Assumptions: Your answer should be 1 \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.


The answer is 0.

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2 solutions

Christian Zinck
Jan 8, 2015

The problem will only accept integer answers, so it must be either 1 or 0. :)

Sp Ps
Sep 21, 2014

Max area of triangle inscribed in a circle is that of equilateral triangle. For the above circle max area possible is 46.7 . therefore no triangle possible >47cm2 . hence probability is zero.

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