Question 388933
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Hi
<img src=" http://upload.wikimedia.org/wikipedia/commons/thumb/8/89/Triangle_%28Right%29_Circumscribed.svg/200px-Triangle_%28Right%29_Circumscribed.svg.png ">
Applying pythagorean Theorem to determine length of base of the rt&#916;
 10^2 = b^2 + 8^2
 100 - 64 = b^2
       36 = b^2
        6 = b (tossing out neg solution)
P(Pt in circle will land in rt&#916;) = Area rt&#916;/Area circle 
Area rt&#916; = (1/2) b*h
Area rt&#916; = 24
Area circle ={{{ pi*r^2 = pi*5^2}}}
P(Pt in circle will land in rt&#916;) = 24/25*3.14 = .3057 or 30.6%