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
- [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