Question

If the angle between two tangents of a circle of radius a is 60 find the length pf op

Answer 1

Answer:

2a

Step-by-step explanation:

If PA and PB are tangents to circle with centre O and radius a, then

∠OAP=90°

thus in ΔOAP,

sin P= P/H= OA/PO

∠OPA will be 60/2=30° that can be proved by congruency.

thus sin 30°=a/OP

sin 30°=1/2

thus

1/2 = a/OP

OP= 2a

:)