ConceptProblems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle

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#### Question

In Fig. 9, is shown a sector OAP of a circle with centre O, containing ∠θ. AB is perpendicular to the radius OQ and meets OP produced at B. Prove that the perimeter of shaded region is

`r[tantheta+sectheta+(pitheta)/180-1]`

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