1.DistanceofchordABfromthecentreofacircleis8cm.Length
ofthechordABis12cm.Findthediameterofthecircle.
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Answer:
Now,
=>OA
2
=OM
2
+MA
2
=>OA
2
=8
2
+6
2
(Since,
MA is half of the chord AB )
=>OA=Radius=10cm
Let the other chord be PQ.
Similarly,
=>OP
2
=ON
2
+NP
2
=>10
2
=6
2
+NP
2
(Since, NP is half of the chord PQ )
=>NP=8cm
SO, PQ=2×NP=16cm
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