Mathematics
The tangent to a circle of radius 6 cm from an external point P, is of length 8 cm. Calculate the distance of P from the nearest point of the circle.
Circles
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Answer
Since the tangent at any point of a circle and the radius through the point are perpendicular to each other.
So, from figure,
AP ⊥ CP
So, in right angled △CAP by pythagoras theorem,
From figure, nearest point to P on the circle is D,
PD = CP - CD = 10 - 6 = 4 cm.
Hence, the distance of P from the nearest point of the circle is 4 cm.
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