Question

length of a tangent segment drawn from a point which is at a distance 15cm from there centre of a circle is 12cm find the daimeter of the circle​

Answer 1

18cm is the diameter

Step-by-step explanation:

Let 'P' be the external point and 'O' be the center of the circle,

While OQ be the radius of the circle,

Given,

OP = 15cm

PQ = 12cm

Using pythagoras theorem,

OP^2 = PQ^2 + OQ^2

15^2 = 12^2 + OQ^2

OQ^2 = 15^2 - 12^2

OQ^2 = 225 - 144

OQ^2 = 81

∵ OQ = 9cm

Diameter = 2 * OQ

= 2 * 9

= 18cm

Learn more: Tangent

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