two concentric circles radii are 25cm and 24cm if chord touches the smaller circle and inside of outer circle then find the length of the chord
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Answered by
5
Answer:
Let O be the centre of concentric circles and APB be the chord of length 24 cm, of the larger circle touching the smaller circle at P.
Then, OP⊥AB and P is the mid-point of AB.
∴AP=PB=12 cm
In △OPA, we have
OA
2
=OP
2
+AP
2
[by pythagorus theorem]
⇒OA
2
=5
2
+12
2
=169
⇒OA=13 cm
Hence, the radius of the smaller circle is 13 cm.
Answered by
2
Answer:
chord ab = 2 cm
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