Math, asked by kbxog, 1 year ago

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

(A)  7 cm
(B) 12 cm
(C) 15 cm
(D) 24.5 cm

Answers

Answered by amritaraj
14

Answer:

Step-by-step explanation:

hello users  

solution

In triangle OPQ

OP is the Radius of circle  

PQ is the length of tangent drawn

And

OQ is the distance of the point from centre .

Using Pythagoras theorem  

H² = B² + P²  

Here

OQ² = OP² + PQ²

=> OP= √ (OQ² - PQ²)

=> OP = √ 25² - 24²

= √ 625 - 576

= √49  

= 7 cm  

Hence

the radius of circle = 7 cm  

option A. is correct

# hope it helps :)

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Answered by Whale23
10

Answer:

This is the answer for the question

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