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Guest Message by DevFuse

# Line through a circle

Spoiler for another method

I have three possible and perfectly acceptable solutions to this question each depending on what assumptions in your model you choose to make.  Only two of the three possibilities have been correctly (at least according to my logic) found.

Joyandwarmfuzzies- 1/3

K-Man                    - 1/2

But there is still another possibility that I would like examined.

these are the solutions.  Well done everyone!

Go to the full post

11 replies to this topic

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Posted 03 July 2013 - 04:03 AM

There is a circle with a radius of 1 on the ground.  A straight line intersects the circle.  What is the probability that the length of the chord created by the intersection of the circle and the line is greater than or equal to sqrt(3)?

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### #2 rlsrainbow

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Posted 03 July 2013 - 05:18 AM

0.5358984

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### #3 k-man

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Posted 03 July 2013 - 03:29 PM

Spoiler for

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### #4 Joyandwarmfuzzies

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Posted 03 July 2013 - 06:35 PM

Spoiler for

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### #5 Joyandwarmfuzzies

Joyandwarmfuzzies

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Posted 03 July 2013 - 10:06 PM

Spoiler for Oops changed my mind

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### #6 k-man

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Posted 03 July 2013 - 10:40 PM

Spoiler for some elaboration on my previous answer

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### #7 BobbyGo

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Posted 03 July 2013 - 10:49 PM

Spoiler for

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### #8 Yoruichi-san

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Posted 03 July 2013 - 11:02 PM

Yeah, I agree with k-man that different methods of drawing give different answers, but overall I think I agree with JAWF on the answer...

Spoiler for Why...

Edited by Yoruichi-san, 03 July 2013 - 11:02 PM.

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Women are definitely stronger. We are [Fe]males, after all...

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<3 BBC's Sherlock, the series and the man. "Smart is the new sexy."

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When life hands me lemons, I make invisible ink.

### #9 bonanova

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Posted 06 July 2013 - 07:52 PM

The probability can reasonably vary by a factor of two,
depending on the description of "randomness" for the line.

There is a strong argument for "best" implementation of

The reason it's best is that it gives the same result with circles
of any radius, and arbitrary center locations. It also has a
physical implementation that is satisfyingly random in nature.

What is it?

Edited by bonanova, 07 July 2013 - 07:32 AM.
Correction.

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Vidi vici veni.

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Posted 06 July 2013 - 08:55 PM

I have three possible and perfectly acceptable solutions to this question each depending on what assumptions in your model you choose to make.  Only two of the three possibilities have been correctly (at least according to my logic) found.

Joyandwarmfuzzies- 1/3

K-Man                    - 1/2

But there is still another possibility that I would like examined.

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