A radius of a circle is 13cm and length of chord is 10 cm then the distance of the chord from the centre is
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Here,
OB=13 cm
AB=10 cm(refer to the figure)
Now, AC=BC=5 cm(Perpendicular from the centre bisects the chord)
In ∆OBC, using Pythagoras theorem,
OB²=BC²+OC²
(13)²=(5)²+(OC)²
169-25=OC²
OC²=144
OC=12 cm
The distance of the chord from the centre is
➡12 cm
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