Answer:
50.24 square inches
Step-by-step explanation:
shape of pizza is circular
area of circle is [tex]\pi r^2[/tex] where r is the radius of circle
Diameter = 2* radius
=> radius = Diameter/2
hence we will use formula of circle to find area of pizza
Diameter of small pizza = 6 inch
Therefore, radius of small pizza = Diameter of small pizza/2 = 6/2 = 3 inches
area of small pizza = \pi r^2
area of small pizza = [tex]\pi r^2\\=> \pi * 3^2 \ (numerical\ value \of \ pi \ is\ 3.14) \\ => 3.14 * 9 \\=> 28.26[/tex]
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Diameter of medium pizza = 10 inch
Therefore,
radius of medium pizza = Diameter of medium pizza/2 = 10/2 = 5 inches
area of medium pizza =[tex]\pi r^2[/tex]
[tex]\pi r^2\\=> \pi * 5^2 \ (numerical\ value \of \ pi \ is\ 3.14) \\ => 3.14 * 25 \\=> 78.50[/tex]
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Difference of area of small and medium pizza = area of medium pizza - area of small pizza = (78.50 - 28.26 ) square inches = 50.24 square inches
Medium pizza is 50.24 square inches greater than small pizza