Given that the diameter of the circle is 3 centimeters.
We need to determine the area of the circle.
Radius of the circle:
The radius of the circle is given by
![r=(d)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/j6ijg49ycvj0jhupgt61e9fhf04admn2vm.png)
![r=(3)/(2)=1.5 \ cm](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1njrzantshcc8m91lvaihizgwb0gl3cx8w.png)
Thus, the radius of the circle is 1.5 cm
Area of the circle:
The area of the circle can be determined using the formula,
![A=\pi r^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/y53l5bajukem3vosj2tgna2lxvbu4ngh5h.png)
Substituting
and
, we get;
![A=(3.14)(1.5)^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/a2ezb5f5o6ezt69gk25j51wrg0ybrucwwj.png)
![A=7.1 \ cm^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/n8l7n3owz89bi246mgkc85ehnwi1982kru.png)
Thus, the area of the circle is 7.1 cm²