# Thread: Square inscribed in a circle, need some help (Probability!)

1. ## Square inscribed in a circle, need some help (Probability!)

Hello everyone! I just joined, needing some help on my review packet for my test..... Given this image:

If the side length of the square is 3 times (radical 2) then what is the probability that if you threw a dart at random, that it would land outside of the square? An explanation would be great as well! Thanks

2. assuming the dart hits inside the circle ...

P = (circle area - square area)/(circle area)

3. Originally Posted by skeeter
assuming the dart hits inside the circle ...

P = (circle area - square area)/(circle area)
Thank you! I got .3633802276, could someone check that for me?
Thanks again

4. Originally Posted by icmac3
Thank you! I got .3633802276, could someone check that for me?
Thanks again
I got the areas 9.424777961 for the circle, and 6 for the square.

5. Originally Posted by icmac3
Thank you! I got .3633802276, could someone check that for me?
Thanks again
Confirmed. The exact value is $\displaystyle \frac{\pi-2}{\pi}$.

6. Originally Posted by undefined
Confirmed. The exact value is $\displaystyle \frac{\pi-2}{\pi}$.
Thank you

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# square within circle

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