Question

A point P is 5 cm from the center of a circle, the radius of the circle is 3 cm. find the length of the tangent drawn to the circle from the point P.

Answer 1

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MATHS

The radius of a circle is 3cm and the distance between the point P and its center is 5cm. Find the length of the tangent

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ANSWER

let the center be O

now given radius is 3cm

and PO=5cm

if the tangent from p touches the circle at Q

then PQO is a right-angled triangle and length of the tangent

is PQ

PQ

2

+OQ

2

=PO

2

[OQ is the radius =3]

so PQ

2

=5

2

−3

2

=16

therefore PQ=4

length of a tangent is 4cm.