given Radius of circle =r=BO=10cm
AB=16cm
∠PBO=90∘ ......Property of Tangent to circle
Property : A pair of tangents drawn from external point to circle are Equal and subtend 90∘ at he centre.
⇒PA=PB
OP perpendicularly bisects AB at M Please mark on figure .
BM=MA=8cm
Considering the
triangle ΔBOM
sin(∠MOB)=sin(∠POB)=810
⇒tan(∠POB)=86
Considering the
triangle ΔPOB
tan(∠POB)=PBBO=86
PB10=86
PA=PB=403cm