document.write( "Question 1157991: Drawn in a circle whose radius is 12 cm, chord AB is 16 cm long. Calculate the angular
\n" ); document.write( "size of minor arc AB. \n" ); document.write( "

Algebra.Com's Answer #780912 by mananth(16946) $\"\"$ $\"About$

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\n" ); document.write( "Perpendicular to chord from centre bisects chord
\n" ); document.write( "AD=BD=8\r
\n" ); document.write( "\n" ); document.write( "Triangle AOD right triangle\r
\n" ); document.write( "\n" ); document.write( "By Pythagoras theorem\r
\n" ); document.write( "\n" ); document.write( "12^2= 8^2+OD^2\r
\n" ); document.write( "\n" ); document.write( "OD = 4sqrt(5)\r
\n" ); document.write( "\n" ); document.write( "tan B = 4sqrt(5)/8 = 1.12\r
\n" ); document.write( "\n" ); document.write( "Angle B = 48.2 ~48 deg\r
\n" ); document.write( "\n" ); document.write( "In triangle AOD \r
\n" ); document.write( "\n" ); document.write( "angle A +angle AOD +angle ODA =180 deg
\n" ); document.write( "48+90+AOD =180
\n" ); document.write( "Angle AOD =42 deg
\n" ); document.write( "Angle AOC = 2* 42 =84\r
\n" ); document.write( "\n" ); document.write( "84 is central angle
\n" ); document.write( "Measure of arc AC =84 degrees\r
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