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The diagram shows a sector of circle of radius ‘r’ can containing an angle θ. The area of sector is A cm2 and perimeter of sector is 50 cm. Prove that

(i) θ = (360/π)(25/r−1)

(ii) A = 25r – r2

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(i) Radius of circle = ‘r’ cm

Angle subtended at centre = θ

Perimeter = OA + OB + (AB arc)



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