Q. 504.8( 13 Votes )

In Fig. 9, is sho

Answer :

The length of the arc AP is given as:


Now, ΔOAB is a right angle triangle ( the tangent is perpendicular to the radius through the point of contact)


Now,


AB = OA× tanθ


AB = r× tanθ


Also, in right Δ OAB,



OB = OA × secθ


OB = r× secθ


Now, PB = OB-OP


PB = r.secθ – r


The perimeter of the shaded area = Arc AP + AB + PB


= + r. tanθ + r.secθ – r


=

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