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# Help !

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5 Excuse me for writings !

Jan 7, 2016

#4
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Thanks CPhill !

Jan 7, 2016

#1
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To: Solveit:

I copied your very interesting question of this morning, about faculty, just a few questions below this one. I posted my answer to it. Please look at it. Sometimes simple logic in concrete words and numbers is a much better solution than abstract symblic Algebra. Thanks.

Jan 7, 2016
#2
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Thanks Guest really !

Jan 7, 2016
edited by Solveit  Jan 7, 2016
#3
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Call the radius of the circle, r.

The area of the surrounding square, ABCD = 4r^2

The area of the square inscribed in the circle = 2r^2

The area of the circle = pi*r^2

So.....the shaded area = the area of the circle - the area of the inscribed square =  [pi*r^2 -2r^2]

So....the probability  that  a point is chosen in the shaded area  =

shaded area  / total area bounded by ABCD =

[pi *r^2 - 2r^2] / [4r^2]  =

r^2 [ pi - 2]/ {r^2 *4]  =   [  r^2  cancels ]

[pi - 2 ] / 4        (E)   Jan 7, 2016
#4
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Thanks CPhill !

Solveit Jan 7, 2016
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No prob, Solveit.....!!!!   Jan 7, 2016