Q.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
(A) 7 cm (B) 12 cm
(C) 15 cm (D) 24.5 cm
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Answer:
The radius of the circle is (A) 7 cm (B) 12 cm (C) 15 cm (D) 24.5 cm Given: Tangent = XY Point of contact = B ...
it will form a triangle,
so using Pythagoras theorem,
r² = (25)² - (24)² = 625 - 576 = 49
r = √49 = 7 cm
hence ,
option ( A ) 7cm is the correct answer