the length of tangent from a point A at distance of 5cm from centre of a circle is 4cm what is the radius of the circle
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9
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.
Answered by
3
Step-by-step explanation:
The radius of the circle is 3 cm.
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