Question

A point P 15 cm from the centre of a arch. The radius of the circle is 5 cm, find the
length of the tangent drawn to the circle from the point P.{with diagram}
​

Answer 1

Answer:

Let O be the centre of the given circle and let P be a point such that OP = 10 cm.

Let PT be the tangent such that PT = 8 cm.

Join OT.

Now, PT is a tangent at T and OT is the radius through T.

Therefore, OT⊥PT.

Using pythagoras theorem in △OTP, we have,

OP

2

=OT

2

+PT

2

OT

2

=100−64=36

OT=6 cm

Therefore, the radius of the circle is 6 cm.

solution