Question

From a point Q the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25cm.The radius of the circle is

(a) 7cm
(b) 12cm
(c) 15cm
(d) 24.5cm




please answer me step by step ​

Answer 1

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Yo Yo

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Let O be the centre of the circle.

Given that,

OQ = 25cm and PQ = 24 cm

As the radius is perpendicular to the tangent at the point of contact,

Therefore, OP ⊥ PQ

Applying Pythagoras theorem in ΔOPQ, we obtain

OP2 + PQ2 = OQ2

OP2 + 242 = 252

OP2 = 625 − 576

OP2 = 49

OP = 7

Therefore, the radius of the circle is 7 cm.

Hence, alternative (A) is correct.

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Answer 2

Answer:

15 cm is the correct answer .....

Plz mark as brainliest ......