Question

Length of a tangent segment drawn from a point which is at a distance of 13cm from the centre of a circle is 12cm. Find the diameter of the circle?​

Answer 1

Answer:

THE DIAMETER OF THE CIRCLE IS 6 CM

Step-by-step explanation:

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Answer 2

Final Answer:- 10 cm

Steps:-

Let external point be B, & OA be radius of circle.

Given:-

OB=13cm

Ab=12cm

In right triangle, ∆AOB by Phythagoras Theorem.

• $OA \: = \sqrt{AB²-OB²}$
• $= > \sqrt{ {13}^{2} - {12}^{2} }$
• $= > \sqrt{169 - 144}$
• $= > \sqrt{25}$
• $5units$

Hence,

Diameter = 2×5

= 10cm .

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