Respuesta :
Answer:
Medium pizza is 62.83 square inches greater than smaller pizza.
Step-by-step explanation:
Given:
Diameter of smaller pizza = 8 inch
Diameter of medium pizza = 12 inch
We need to find how much greater in area is medium pizza than the small pizza.
Solution:
First we will find the are of both the pizza;
Now we know that;
Radius = [tex]\frac12[/tex] Diameter
Radius of Smaller pizza = [tex]\frac12\times8 =4 \ in.[/tex]
Radius of Medium pizza= [tex]\frac12\times12 =6 \ in.[/tex]
Now pizza is in circular shape so we will apply area of circle to find the area of the pizza.
Area of circle is π times square of the radius.
framing in equation form we get;
Area of Smaller Pizza = [tex]\pi \times 4^2= 16 \pi= 50.265\ in^2[/tex]
Area of Medium Pizza = [tex]\pi \times 6^2= 36\pi = 113.097\ in^2[/tex]
Now to find Difference we will subtract Area of Smaller Pizza from Area of Medium Pizza.
So we can say that;
Difference = [tex]113.097-50.265 = 62.832\ in^2[/tex]
Rounding to nearest hundred we get;
Difference = [tex]62.83\ in^2[/tex]
Hence Medium pizza is 62.83 square inches greater than smaller pizza.
