The formula for calculating the area of the circle made by Sara is given by the following general formula:
![A=\pi* r^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/8wbdxz67tl4r7vg1yhkaxc4upw6qhkrx91.png)
where r = radius of the circle, and:
![\text{radius}=\frac{\text{diameter}}{2}](https://img.qammunity.org/2023/formulas/mathematics/college/slrj2mftrgoloccs7cb805pv0f1nu60eb5.png)
Now, given that the diameter of the circle made by sara is 8 inches, the radius will be:
![\begin{gathered} \text{radius}=\frac{\text{diameter}}{2} \\ \text{radius}=(8)/(2)=4\text{ inches} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/4nmbowj1f8t39tndpv13bad9trs419tvwr.png)
Now, the area of the circle will be:
![\begin{gathered} A=\pi* r^2 \\ \text{Given that: }\pi=3.14,\text{ and r = 4 inches, we have:} \\ A=3.14*4^2 \\ A=3.14*16=50.24in^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/kt24063s1x13e372fx33u98fogjxpko3e6.png)
Therefore the area of the circle made by Sara is 50.24 square inches
Correct answer: Option A