radii of two concentric circle are 5cm and x cm if x is radius of smaller circle and length of each chord of one circle which is tangent to other is 6 cm find x
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4
Answer:
Let radius of the smaller circle =OC=r=5 cm.
And radius of bigger circle =OA=R=13 cm.
Now in the smaller circle OC=OP=5 cm.
Since AB is the chord of the bigger circle, it is tangent to the smaller circle.
OP ⊥AB or ∠OPA=90
∘
Now in ΔOAP,
OA
2
=OP
2
+AP
2
⇒13
2
=5
2
+AP
2
⇒AP
2
=144⇒AP=12cm
∴AB=2AP=2×12=24cm. pls mark me brainliest
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1
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