Given two concentric circles of radii 5 and 3,find the lenth of a chord of larger circle which touches the smaller one.If BD=5 find BC
Answers
Given two concentric circles of radii 5 and 3,find the lenth of a chord of larger circle which touches the smaller one.If BD=5 find BC
Answer:
∠OPA = ∠OPB =90°
Step-by-step explanation:
Let the two concentric circles be C₁and C₂ and the center O.
AB is the chord to the larger circle C₂ which touches the smaller circle C₁
Length of AB will be given by
Connecting OP , OA and Ob we get
OP = 3cm = radius of smaller circle.
OA = OB = 5cm = radius of larger circle.
∵ AB is tangent to circle C₁ OP ⊥ AB
∴∠OPA = ∠OPB =90°
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