Practice set 6.2
Radius of circle is locm. There are two chords.
of length 16 cm each. What will be the distance
of these chords from the centre of the circle? class 9th
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Step-by-step explanation:
Answer
Length of the chord AB=16cm and radius(r)=10cm.
To find:- OM
Construction: Draw a perpendicular OM from centre O such that it bisects the chord AB
Proof: In right angled ΔOMB
OB2=OM2+BM2
⇒(10)2=OM2+(8)2
⇒100=OM2+64
⇒OM2=100−64
⇒OM2=36
⇒OM=36
⇒OM=6cm
∴ Hence, the distance of the chord from the centre of the circle is 6cm.
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