Question

point p lies on a circle with centre O and radius 5 cm A line through centre O intersects the tangent through p at q . if oq=12 cm. find the length of pq.​

Answer 1

Answer:

Length of PQ = √119  =  10.91 cm

Step-by-step explanation:

point P lies on a circle with Centre O and radius 5cm

=> OP = 5 cm

   OQ = 12 cm

   PQ  = ?

PQ is tangent   => PQ ⊥ OP

Applying pythagorus theorm

OQ² = OP² + PQ²

=>  12² = 5²  + PQ²

=> 144 = 25 + PQ²

=> PQ² = 119

=> PQ = √119  =  10.91 cm