document.write( "Question 935044: Triangle ABC is right angled at B. If AB = 15 cm and BC = 20 cm, what is the area of circle centered at B and tangent to the hypotenuse AC.
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Algebra.Com's Answer #568165 by lwsshak3(11628)\"\" \"About 
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Triangle ABC is right angled at B. If AB = 15 cm and BC = 20 cm, what is the area of circle centered at B and tangent to the hypotenuse AC.
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\n" ); document.write( "In the right triangle described above, label the point of tangency O.
\n" ); document.write( "r=radius of circle=BO
\n" ); document.write( "tanC=15/20=3/4=0.75
\n" ); document.write( "C≈36.87˚
\n" ); document.write( "Using right riangle BOC:
\n" ); document.write( "sinC=BO/20
\n" ); document.write( "BO=20sinC=20sin36.87˚=12
\n" ); document.write( "Area of circle=πr^2=π(12^2)=144π cm^2
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