document.write( "Question 393287: If a circle has a diameter of nine inches and a chord that is five inches long, what is the distance from the chord to the center of the circle, to the nearest hundreth of an inch. There was not a picture in the textbook that went along with this problem. Is there a formula to solve this? If so, what is it? Thank you! \n" ); document.write( "
Algebra.Com's Answer #279154 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! picture two radii of the circle \n" ); document.write( "one drawn through the center of the chord \n" ); document.write( "and the other, drawn to the end of the chord\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the one through the center of the chord is a perpendicular bisector of the chord\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a right triangle is formed by half the chord, \n" ); document.write( "the portion of the radius to the center of the chord (this is the distance from chord to center), \n" ); document.write( "and the radius to the end of the chord (this is the hypotenuse)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "by Pythagoras ___ (5/2)^2 + x^2 = (9/2)^2 \n" ); document.write( " |