Question

4. The longest chord of a circle is having length 10 cm. A
tangent PQ is drawn to the circle from the point
outside P is having length 12 cm. Find the distance
between centre and P.
​

Answer 1

Answer:

Step-by-step explanation:

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.