Question

Find the length of the tangent drawn from a point whose distance from the centre

of a circle is 13 cm. Given that the radius of the circle is 12 cm.​

Answer 1

Step-by-step explanation:

Distance of the tangent from the centre of the circle = 13 cm. = √25 = 5 cm.

Answer 2

Let centre of circle be O, point of origin of tangent be P and point of contact be Q.

Since tangent is perpendicular to radius at point of contact with circle, Triangle OPQ is right angled triangle, 90 at Q.

Let OP be H = 13 cm, OQ be P = 12 cm

By pythagoras theorem..

H^2 = B^2 + P^2

13^2 = QP^2 + 12^2

169 - 144 = QP^2

25 = QP^2

5 cm = QP = Length of tangent

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