Given:
Given that the radius of the semicircle is 4 units.
We need to determine the area of the semicircle.
Area of the semicircle:
The area of the semicircle can be determined using the formula,
![A=(\pi r^2)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/fwoczdfxj32sjqy8r4a04a843tv6kpa2j9.png)
Substituting π = 3.14 and r = 4, we get;
![A=(3.14 * (4)^2)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/hukcop26x5048gatkn8mvvht0hqj1fquml.png)
Simplifying, we get;
![A=(3.14 * 16)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2xb5ch68zzlol09csbo5jtex28gl4pmspj.png)
Multiplying, we get;
![A=(50.24)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/riq2kdyopzuzyke4klm41u5r6ie0zvzi3w.png)
Dividing, we get;
![A=25.12](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mup4sz1lj874nka44c0ve53yt9ik2e7evw.png)
Thus, the area of the semicircle is 25.12 square units.