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A circular dartboard of radius 1 foot is at a distance of
20 feet from you. You throw a dart at it and it hits the
dartboard at some point Q in the circle. What is the
probability that Q is closer to the center of the circle
than the periphery?
0.75
1
0.5
0.25

Solution: 0.25


can someone plz explain how this answer is calculated?????

Answer Posted / anvith

CONSIDER THE RADIUS OF 0.5FT ON THE DARTBOARD (OF TOTAL
RADIUS 1FT)
IF THE DART FALLS IN THIS RADIUS OR RATHER AREA GIVEN BY
PI*0.5*0.5
THEN ITS CLOSER TO THE CENTRE
HENCE PROBABILITY=PI*0.5*0.5/(PI*1*1)
=0.25

Is This Answer Correct ?    32 Yes 1 No



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