Question #7515d

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Question #7515d

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Answer 1 · 2017-05-24T02:14:07

$36 π$ $36pi$ i $n^{2}$ $n^2$ or about 113 i $n^{2}$ $n^2$

Explanation:

A dinner plate is a circle. To find the area of a circle, use the equation $A = π \cdot r^{2}$ $A=pi*r^2$ where A is Area, $π$ $pi$ is a constant equal to about 3.14 (the constant is irrational; 3.14 is an approximation), and $r$ $r$ 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:

$\frac{12}{2} = 6$ $12/2=6$
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
$A = π \cdot 6^{2}$ $A=pi * 6^2$
simplified to:
$A = 36 π$ $A=36pi$ i $n^{2}$ $n^2$ ****

because $6^{2}$ $6^2$ is $6 \cdot 6$ $6*6$ , which is 36

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

Therefore:
$A = 36 \cdot 3.14$ $A=36*3.14$
$A \approx 113$ $A~~113$ i $n^{2}$ $n^2$ ****

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

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Question #7515d

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