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A slice of circular pizza has perimeter 32 inches. Denote the central angle of the slice of pizza by theta radians and the radius by x inches.

A slice of circular pizza has perimeter 32 inches. Denote the central angle of the slice of pizza by theta radians and the radius by x inches. What is the diameter of the pizza which give maximum area ( and hence the most pizza)? Justify your answer. Show a sketch and recall that the area of the sector of a circle with central angle theta radians and radius R is 1/2R^2theta and the length of the arc cut off by such an angle has length R(theta) with the angle measured in radians again.

Please show how the answer was obtained.

Top Answer

The diameter is 32 inches. I... View the full answer

maxpizzaradius.png

2 comments
  • Correction, the diameter should be 16. Please see the link for steps.
    • JEWooden
    • Jul 20, 2016 at 1:41pm
  • https://drive.google.com/open?id=0B1FC778v2_yRR0lGZk9VYmFZdkE
    • JEWooden
    • Jul 20, 2016 at 1:42pm

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Other Answers

Diameter of pizza = 16... View the full answer

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