A circle of radius 0.7 cm is inscibed in triangle ABC, if a dart is thrown to this figure, find the probability of the dart hitting the interior of triangle except the area of circle
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Answer:
In given radius of area C is 1,B is 2 and A is 3.
Then total area of circular region with radius 3 cm = π(3)
2
=9π
The area of circular region with radius 2 cm = π(2)
2
=4π
Then heating area of region A= 9π−4π=5π
Then probability of a dart hitting board region A=
total area of circular disc
area of region A
=
9π
5π
=0.55
Then probability of a dart hitting board region A=55%.
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