English, asked by abhimanyakene, 1 day ago

Length of a tangent segment drawn from a point outside a
circle is 8 cm and distance of the point from the centre of circle is 10 cm. Find the diameter of the circle.​

Answers

Answered by gamerchess26
3

Answer:

The length of the tangent is 15cm.

Explanation:

Let O be the center of the given circle.

Let P be a point, such that

OP 17 cm.

Let OT be the radius, where

OT = 5cm

Join TP where TP is a tangent.

Now, tangent drawn from an external

point is perpendicular to the radius at

the point of contact.

OT LPT

In the right A OTPwe have:

Op? = OT2 + TP2

By

Pythagoras' theorem:]

TP = = VOP2, - OT2

= V172-8

= 289 64

= 225

= 15 cm

The length of the tangent is 15 cm.

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