In a circle of radius 5cm the distance of a chordof length 8cm from the centre is
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radius = 5cm
l(chord) = 8cm
1/2 l(chord)=4cm
Let x be the distance of chord from centre
by pythagoras theorem,
(4)² + x² = (5)²
16 +x² =25
x²=9
∴x=3cm
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