document.write( "Question 758064: A circle has a diameter 27 cm. How far from the centre of this circle is a chord 18 cm long? \n" ); document.write( "

Algebra.Com's Answer #461237 by Cromlix(4381) $\"\"$ $\"About$

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A circle with a diameter of 27cm
\n" ); document.write( "has a radius of 13.5cms
\n" ); document.write( "If we draw a line down to the centre
\n" ); document.write( "of the chord from the centre of the circle.
\n" ); document.write( "This will be AB.
\n" ); document.write( "Then we we connect a radius to the end of the
\n" ); document.write( "chord to the centre of the circle, we have a right angled
\n" ); document.write( "triangle with hypotenuse (radius) = 13.5cms.This
\n" ); document.write( "will be AC
\n" ); document.write( "A base side is half the size of the chord = 9cm.This
\n" ); document.write( "is BC
\n" ); document.write( "To find the distance from the centre of the circle
\n" ); document.write( "to the chord we must find the length of AB.
\n" ); document.write( "AB^2 + BC^2 = AC^2
\n" ); document.write( "AB^2 + 9^2 = 13.5^2
\n" ); document.write( " AB^2 = 13.5^2 - 9^2
\n" ); document.write( " AB^2 = 101.25
\n" ); document.write( " AB = square root of 101.25
\n" ); document.write( " AB = 10.1cms
\n" ); document.write( "This is the distance from the centre
\n" ); document.write( "of the circle to the chord.
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-)
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