Question

Please give me the correct answer

Answer 1

Mark as brainliest pls...

Answer 2

Hi friend,
Perimeter of shaded region= AB+ PB+ arc length AP=___(1)

Arc length AP=θ/360 X 2πr= πθr/180______(2)
In right triangle ΔOAB,
tanθ=AB/r=>AB=rtanθ______(3)
secθ=OB/r=>OB=rsecθ

OB=OP+PB
∴rsecθ=r+PB
∴PB=rsecθ-r____(4)
Substitute (2),(3)and(4) in (1) we get,
Perimeter of shaded region  =AB+PB+arc length AP
                                             =rtanθ+rsecθ-r+ πθr/180
                                             =r[tanθ+secθ+πθ/180 -1]
_____________________________________________________________