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6-1 Area Word Problems
Pizza Palace's largest pizza box has side lengths of 18 inches. A customer wants to special order a pizza
with an area of 300 square inches. Will the pizza fit in one of Pizza Palace's pizza boxes?

Respuesta :

Answer:

No,the pizza will not fit in the box

Step-by-step explanation:

Since the diameter of the pizza is 19.6 inches which is greater that the side length of the box, the pizza is longer than the side lengths of the box

  • to get the diameter of the pizza,
  • Since the pizza is circular in shape
  • Area of a circle = π r²
  • where r is the radius and the area is 300 inch²

  • 300 = 3.142 × r²

  • [tex] {r}^{2} \: = \: \frac{300}{3.142} \\ {r}^{2} = 95.48 \\ r \: = \sqrt{95.48} \\ r \: = \: 9.8 \: inches[/tex]
  • But diameter is two times the radius
  • So.....diameter = 2r
  • Diameter of the pizza = 2 × 9.8
  • Diameter of the pizza = 19.6 inches
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