Jill buys two circular pizzas. How much greater, in square inches, is the area of the medium pizza than the small pizza? Round your answer to the nearest tenth

Respuesta :

Answer:

63 [tex]in^{2}[/tex]

Step-by-step explanation:

First we need to  find the area of each pizza in  square inches with pizza with the round shape, then calculate  the difference.    

The formula of area of circle is:

Area = π[tex]r^{2}[/tex]

As we know, medium pizza has 12 inch diameter and small pizza has 8 inch diameter.

  • For 12 inch diameter, radius = 6

A = π[tex](6)^{2}[/tex] = 36π [tex]in^{2}[/tex]  

  • For 8 inch diameter, radius = 4

A = π[tex](4)^{2}[/tex] = 16π [tex]in^{2}[/tex]

Difference of the two area:  36π - 16π = 20π [tex]in^{2}[/tex]

by putting the value of π, the difference is

A=20 * 3.14 => 63 [tex]in^{2}[/tex]

Answer:

62.9 in²

step-by-step explanation:

Diameters of medium and small sized pizzas are 12 and 8 inches respectively

Therefore,their radiuses are 6 and 4

Area of circle is pi×r²

~ 22/7×6²= 113.14(area of the bigger pizza)

~ 22/7×4²=50.29(are of smaller pizza)

The difference between their areas are now 113.14 - 50.29 = 62.9 in²