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A Slice of Pizza, in the Form of a Sector θ\theta

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A slice of pizza, in the form of a sector of a circle, is to have a perimeter of 18 inches. What should be the radius of the pan to make the slice of pizza largest.
(The area of a sector of a circle,  A slice of pizza, in the form of a sector of a circle, is to have a perimeter of 18 inches. What should be the radius of the pan to make the slice of pizza largest. (The area of a sector of a circle,   where  \theta  is the central angle in radians and the arc length along a circle is S = r \theta with  \theta  in radians.) where θ\theta is the central angle in radians and the arc length along a circle is S = r θ\theta with θ\theta in radians.)

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