Question

Question #7515d

Answer 1

`36pi` i`n^2` or about 113 i`n^2`

Explanation:

A dinner plate is a circle. To find the area of a circle, use the equation `A=pi*r^2` where A is Area, `pi` is a constant equal to about 3.14 (the constant is irrational; 3.14 is an approximation), and `r` is the radius of the circle.

In this problem, the diameter is 12 inches. Diameter is twice the length of the radius so to find the radius, divide 12 by 2:

`12/2=6`
The radius is 6 inches.

Now, we have all the information necessary to commplete the problem. We substitute the values in to the equation to get the equation
`A=pi * 6^2`
simplified to:
`A=36pi` i`n^2` ****

because `6^2` is `6*6`, which is 36

The answer can be left in terms of `pi`, or it can be approximated using the value 3.14 (or a longer approximation such as 3.141592).

Therefore:
`A=36*3.14`
`A~~113` i`n^2` ****

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Both answers are correct, but the first one which leaves `pi` in the answer is more exact because `pi` is an exact number without substituting an inexact approximation.