document.write( "Question 1194629: Divide the circle area (with radius r) with one cut (one tendon) in a ratio of 1:2. \n" ); document.write( "

Algebra.Com's Answer #826890 by Edwin McCravy(20064) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "I'm not sure what you want here.  But I'll do enough of it to get you\r\n" );
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document.write( "Let AB be the chord which divides the area of the circle so that\r\n" );
document.write( "the area above AB is 1/3 of the area of the circle .\r\n" );
document.write( "Then the area below AB will be 2/3 of the area of the circle. Then\r\n" );
document.write( "they will be in the ratio 1:2\r\n" );
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document.write( "We draw in two radii to A and B.\r\n" );
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document.write( "First we find the area of the sector AOB (\"piece of pie\") \r\n" );
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document.write( "In this case, \r\n" );
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document.write( "We must subtract the area of triangle AOB to get the area\r\n" );
document.write( "above AB.\r\n" );
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document.write( "If a triangle has two sides with lengths x and y, and the \r\n" );
document.write( "angle between these two sides is θ degrees, then the area \r\n" );
document.write( "of the triangle is given by the equation \r\n" );
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document.write( "In this case, x and y both equal the radius r, and \r\n" );
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document.write( "The area above AB is\r\n" );
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document.write( "This must equal 1/3 of the area, which is  \r\n" );
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document.write( "So the equation is \r\n" );
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document.write( "We divide through by r²\r\n" );
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document.write( "You can only solve that for  with technology.\r\n" );
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document.write( "I used a TI-84 Plus.  I got 149.27417^o\r\n" );
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document.write( "Use that to find whatever else your teacher wants. \r\n" );
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document.write( "Edwin

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