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 #275397 by jerryguo41(197)\"\" \"About 
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Circle diameter of 10
\n" ); document.write( "Area of Circle is
\n" ); document.write( "A=πr^2
\n" ); document.write( "A=π10^2
\n" ); document.write( "\"A=100%26%23960%3B\"\r
\n" ); document.write( "\n" ); document.write( "Area of Triangle is Hight*Base/2
\n" ); document.write( "Using Pythagorean THM
\n" ); document.write( "\"A%5E2%2BB%5E2=C%5E2\"
\n" ); document.write( "\"8%5E2%2BB%5E2=10%5E2\"
\n" ); document.write( "\"64%2BB%5E2=100\"
\n" ); document.write( "\"B%5E2=+36\"
\n" ); document.write( "\"B=6\"\r
\n" ); document.write( "\n" ); document.write( "Area of Triangle
\n" ); document.write( "\"Hight%2ABase%2F2\"
\n" ); document.write( "\"%288%2A6%29%2F2\"
\n" ); document.write( "\"48%2F2\"
\n" ); document.write( "\"24\"\r
\n" ); document.write( "\n" ); document.write( "% landing in triangle
\n" ); document.write( "Area of Triangle/Area of Circle
\n" ); document.write( "24/100π = 24/314.2 = 0.08%
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