SOLUTION: Hi, Can you please explain how to solve this problem? I have a paper plate with radius 9 cm which has a hole of radius 5 cm cut out of the center of it. I accidentally drop a coi

Algebra ->  Probability-and-statistics -> SOLUTION: Hi, Can you please explain how to solve this problem? I have a paper plate with radius 9 cm which has a hole of radius 5 cm cut out of the center of it. I accidentally drop a coi      Log On


   



Question 217900: Hi,
Can you please explain how to solve this problem?
I have a paper plate with radius 9 cm which has a hole of radius 5 cm cut out of the center of it. I accidentally drop a coin with radius 2 cm that will randomly land somewhere on the plate (all of the coin is on the plate). What is the probability that it will drop in the hole completely (all of the coin is within the hole)?
Thanks,
From,
Manish

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
A=3.14r^2
plate
3.14*81=254.34
hole
3.14*4=9.42
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9.42/254.34=.037=3.7% chance coin goes through hole