Respuesta :
The area of small pizza is 2.778 times greater than the area of medium pizza, if the small pizza has a diameter of 6 inches and the medium pizza has a diameter of 10 inches.
Step-by-step explanation:
The given is,
The small pizza has a diameter of 6 inches.
The medium pizza has a diameter of 10 inches.
[tex]\pi = 3.14[/tex]
Step: 1
Formula to calculate the area of circular pizza,
[tex]A =\pi r^{2}[/tex]............................(1)
Where, r - Radius of pizza
Step: 2
Area of medium pizza,
Where, Diameter of medium pizza, D = 10 inches
Radius , [tex]r = \frac{d}{2} = \frac{10}{2} = 5 inches[/tex]
r = 5 inches
Equation (1) becomes,
[tex]A_{Medium} =\pi 5^{2}[/tex]
= (3.14)(25)
= 78.5
[tex]A_{medium} = 78.5[/tex] square inches
Step: 3
Area of small pizza,
Where, Diameter of small pizza, D = 6 inches
Radius , [tex]r = \frac{d}{2} = \frac{6}{2} = 3 inches[/tex]
r = 3 inches
Equation (1) becomes,
[tex]A_{Medium} =\pi 3^{2}[/tex]
= (3.14)(9)
= 28.26
[tex]A_{medium} = 28.26[/tex] square inches
Step: 4
Ratio of medium pizza to small pizza in square inches,
[tex]= \frac{ A_{Medium } }{ A_{small} }[/tex]
[tex]= \frac{78.5}{28.26}[/tex]
= 2.778
Area of medium pizza 2.778 times greater than the area of small pizza.
Result:
The area of small pizza is 2.778 times greater than the area of medium pizza.
