document.write( "Question 388933: A right triangle is inscribed a circle with a diameter of 10. The height of the triangle is 8 and its hypotenuse has a length of 10. If you choose a point in the given circle, find the probability it will land in the shaded region (aka, the right triangle). (answer in % form and rounded to the nearest tenth) \n" ); document.write( "

Algebra.Com's Answer #275395 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "Applying pythagorean Theorem to determine length of base of the rtΔ
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document.write( " 10^2 = b^2 + 8^2
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document.write( " 100 - 64 = b^2
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document.write( "       36 = b^2
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document.write( "        6 = b (tossing out neg solution)
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document.write( "P(Pt in circle will land in rtΔ) = Area rtΔ/Area circle 
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document.write( "Area rtΔ = (1/2) b*h
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document.write( "Area rtΔ = 24
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document.write( "Area circle =
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document.write( "P(Pt in circle will land in rtΔ) = 24/25*3.14 = .3057 or 30.6% 
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