document.write( "Question 75647: Is there a formula to answer the following question?
\n" ); document.write( "I know the chord of a circle is 10\" and at the mid point of this chord is another line that reaches up to the edge of the circle and it is 1\" long. What is the radius of the circle? this question is not in a text book. \r
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\n" ); document.write( "Amy \n" ); document.write( "
Algebra.Com's Answer #54346 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Is there a formula to answer the following \r\n" );
document.write( "question? \r\n" );
document.write( "I know the chord of a circle is 10\" and at \r\n" );
document.write( "the mid point of this chord is another line \r\n" );
document.write( "that reaches up to the edge of the circle and \r\n" );
document.write( "it is 1\" long. What is the radius of the\r\n" );
document.write( "circle? this question is not in a text book. \r\n" );
document.write( "Thank you for your time, \r\n" );
document.write( "Amy\r\n" );
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document.write( "Draw a circle with center O. \r\n" );
document.write( "Draw the chord AB\r\n" );
document.write( "Let C be the midpoint of AB\r\n" );
document.write( "Draw radius OA\r\n" );
document.write( "Draw OC\r\n" );
document.write( "Extend OC until it intersects the circle at D.\r\n" );
document.write( "You are given CD = 1 and that AB = 10\", so AC = 5\"\r\n" );
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document.write( "Let the radius be r.\r\n" );
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document.write( "Then OD = r for it is a radius\r\n" );
document.write( "You are given that CD = 1\r\n" );
document.write( "So OC = OD - CD = r - 1\r\n" );
document.write( "OA = r for it is a radius\r\n" );
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document.write( "Now use the Pythagoean theorem on\r\n" );
document.write( "right triangle OAC\r\n" );
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document.write( "OC² + AC² = OA²\r\n" );
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document.write( "or\r\n" );
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document.write( "(r - 1)² + 5² = r²\r\n" );
document.write( "(r - 1)² + 25 = r²\r\n" );
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document.write( "Can you solve that?  If not post again\r\n" );
document.write( "asking how.\r\n" );
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document.write( "r = 13 or the radius is 13\"\r\n" );
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document.write( "Edwin
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