Question

I lhes New Roman

16px
1.5pt • BI U SA A
X X2
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?

Answer 1

No,the pizza will not fit in the box

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

• 
  `{r}^(2) \: = \: (300)/(3.142) \\ {r}^(2) = 95.48 \\ r \: = √(95.48) \\ r \: = \: 9.8 \: inches`
• But diameter is two times the radius
• So.....diameter = 2r
• Diameter of the pizza = 2 × 9.8
• Diameter of the pizza = 19.6 inches