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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

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

#### Other Answers

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

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