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)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( "*** \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 \n" ); document.write( " |