The diameter of a circle is 10 cm, if the distance of a chord from the centre is 4cm, What is the length of the chord?
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Answer:
Given,
diameter=10cm
r=10/2=5 cm
By considering the Distance of chard from the centre of the circle as Perpendicular and the radius as hypotenuse.
Using pythagoras theorem:
(Base)^2=5^2-4^2
=>Base^2=25-16
Base=_/9
Base=3 cm
Therefore, the length of the chord is 3*2=6cm(Ans.)
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