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Home » The tangent to a circle of radius 6 cm from an external point P, is of length 8 cm. Calculate the distance of P from the nearest point of the circle.
The tangent to a circle of radius 6 cm from an external point P, is of length 8 cm. Calculate the distance of P from the nearest point of the circle.
CBSE | Circles | Class 10 | Exercise 1 | Maths | ML Aggarwal
The tangent to a circle of radius 6 cm from an external point P, is of length 8 cm. Calculate the distance of P from the nearest point of the circle.

Solution:

Radius of the circle = 6 cm

and length of tangent = 8 cm

Let OP be the distance

i.e. OA = 6 cm, AP = 8 cm .

OA is the radius

OA ⊥ AP

Now In right ∆OAP,

OP2 = OA2 + AP2

(By Pythagoras axiom)

= (6)2 + (8)2

=36 + 64

= 100

= (10)2

OP = 10 cm.

i

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