Question

find the length of a tangent drawn from a point whose distance from the centre of a circle is 5 cm and radius of a circle is 3 cm

Answer 1

the answer is centre of circle 5multiplied with radius of a circle 3 so that 5multiply by3=15is answer

Answer 2

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Let the external point be P, Centre of circle be O and the point of contact of the tangent to the circle be Q.

The points P, Q and O form a triangle.

In ΔPQO,

<OQP =90° (radius perpendicular to tangent)

By Applying Pythagoras Theorem,

OP^2 = OQ^2 + PQ^2

5^2 = 3^2 + PQ^2

25 = 9 + PQ^2

PQ^2 = 25-9 = 16

PQ = +/- 4

But, the length cannot be negative.

Thus, PQ = 4 cm

Thus, the elngth of the Tangent is 4 cm.

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