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
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Answered by
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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