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)


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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