Mathematics
From a point M, the length of the tangent to a circle is 24 cm and the distance of M from the centre is 25 cm. The radius of the circle is :
7 cm
12 cm
24.5 cm
12.5 cm
Circles
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Answer
We know that,
The tangent at any point of a circle and the radius through this point are perpendicular to each other.
In right ∆MOT, we have
MO2 = MT2 + OT2
OT2 = MO2 - MT2
OT2 = 252 - 242
OT2 = 625 - 576
OT2 = 49
OT =
OT = 7 cm.
Hence, option 1 is the correct option.
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