document.write( "Question 198940: What is the approximate area of a segment of a circle with a radius 12 meters if the length of the chord is 20 meters? \n" ); document.write( "
Algebra.Com's Answer #149478 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! draw a rough sketch, circle of radius 12, with perpendicular chord of 20 bisected by \n" ); document.write( "a radius. Let angle a = arc sin 10/12 = 56.4 deg \n" ); document.write( ". \n" ); document.write( "2a = 112. 885 deg,,,,which is central angle of segment \n" ); document.write( ". \n" ); document.write( "Area of circle = pi * r^2 = pi * 12 ^2 = 542.389 \n" ); document.write( ". \n" ); document.write( "Area of segment is 112 / 360 * 542 = 142 meters squared \n" ); document.write( " |