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Home » Find the length of the tangent drawn to a circle of radius 3cm, from a point distnt 5cm from the center.
Find the length of the tangent drawn to a circle of radius 3cm, from a point distnt 5cm from the center.
CBSE | Circles | Class 10 | Exercise 1 | Exercise 1 | Maths | ML Aggarwal
Find the length of the tangent drawn to a circle of radius 3cm, from a point distnt 5cm from the center.

Solution:

In a circle with center O and radius 3cm and p is at a distance of 5cm.

That is OT = 3 cm, OP = 5 cm

OT is the radius of the circle

OT ⊥ PT

Now in right ∆ OTP, by Pythagoras axiom,

OP2 = OT2 + PT2

(5)2 = (3)2 + PT2

PT2 = (5)2 – (3)2 = 25 – 9 = 16 = (4)2

PT = 4 cm.

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