Question

If pq is a tangent drawn from an external point p to a circle with centre o and qor is a diameter whrer length of qor is 8cm such that angle por = 120 then find op and pq\

Answer 1

Answer:

PQ =  4√3cm ,    OP =  8cm

Step-by-step explanation:

in line RQ, angle ROP = 120

=> angle POQ = 60  (linear pair)

Now, in triangle POQ  angle POQ is 60,

tan60 = √3

=> PQ/4 = √3

=> PQ = 4√3

Now, in trianlge POQ, angle POQ is 90°,

now pythogoras theorem

OP =  8 cm

hopefully its correct.