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19/06/2021 11:51 am
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The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.
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19/06/2021 11:54 am
Here, AB is the tangent that is drawn on the circle from a point A.
So, the radius OB will be perpendicular to AB i.e. OB ⊥ AB
We know, OA = 5cm and AB = 4 cm
In △ABO,
OA2 = AB2 + BO2 (Using Pythagoras theorem)
52 = 42 + BO2
BO2 = 25 - 16
BO2 = 9
BO = 3
So, the radius of the given circle i.e. BO is 3 cm.