11.The length of a tangent from a point A at a distance 5cm from the centre of a circle is 4cm. Find the
diameter of the circle.
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Answered by
1
Answer:
AB is a tangent drawn on this circle from point A.

∴ OB ⊥ AB
OA = 5cm and AB = 4 cm (Given)
In ΔABO,
By Pythagoras theorem in ΔABO,
OA2 = AB2 + BO2
⇒ 52 = 42 + BO2
⇒ BO2 = 25 - 16
⇒ BO2 = 9
⇒ BO = 3
∴ The radius of the circle is 3 cm.
diamter=2×r=3×2=6cm
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