For this case we have that by definition, the area of a circle is given by:
![A = \pi * r ^ 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/aphz99i7s3sr0ed3hfa6uoaimn1hgptyrw.png)
Where:
r: It is the radius of the circle
If they tell us that the diameter is 6 inches, then the radius is 3 inches. replacing:
![A = \pi * (3) ^ 2\\A = 9 \pi\\A = 28.26](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gpqozwvju0h1vanuft6wwh1tcxin9j03dr.png)
Thus, the area of the circle is 28.26 \ in ^ 2
ANswer:
![28.26 \ in ^ 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bmfkqyb1mezd9x1dsqu74myc394tsmh1nu.png)