Question

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.

Answer 1

Medium pizza is 62.83 square inches greater than smaller pizza.

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 =
`\frac12` Diameter

Radius of Smaller pizza =
`\frac12*8 =4 \ in.`

Radius of Medium pizza=
`\frac12*12 =6 \ in.`

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 =
`\pi * 4^2= 16 \pi= 50.265\ in^2`

Area of Medium Pizza =
`\pi * 6^2= 36\pi = 113.097\ in^2`

Now to find Difference we will subtract Area of Smaller Pizza from Area of Medium Pizza.

So we can say that;

Difference =
`113.097-50.265 = 62.832\ in^2`

Rounding to nearest hundred we get;

Difference =
`62.83\ in^2`

Hence Medium pizza is 62.83 square inches greater than smaller pizza.