Question

find the length of the tangent to the circle from point at any distance of x cm from centre of the circle of radius r
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Answer 1

Answer:

Let r be the radius of circle.

Given:-

PQ=8cm

PO=17cm

OQ=r

Since the tangent of any point of a line is perpendicular to the radius through the point of contact.

In △OPQ,

OP

2

=PQ

2

+OQ

2

(By pythagoras theorem)

(17)

2

=(8)

2

+r

2

⇒r=

289−64

=

225

=15cm

Hence the radius of the circle is 15cm.

Answer 2

See the attachment for your answer and explanation...