three points are randomly selected on a circle to form a triangle. 1) find the probability that the center of the circle lies inside the triangle. 2) find the probability that the triangle is an acute triangle.


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Question Number 209510 by mr W last updated on 12/Jul/24

$t h r e e p o i n t s a r e r a n d o m l y s e l e c t e d$ $o n a c i r c l e t o f o r m a t r i a n g l e .$ $1) f i n d t h e p r o b a b i l i t y t h a t t h e c e n t e r$ $o f t h e c i r c l e l i e s i n s i d e t h e t r i a n g l e .$ $2) f i n d t h e p r o b a b i l i t y t h a t t h e$ $t r i a n g l e i s a n a c u t e t r i a n g l e .$
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