We will have the following:
We will recall that the surface area of a sphere is given by:
![A_s=4\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/college/c7oa0ttw2zt8sksifrmliklcuquh7j00io.png)
So, the surface area of the given sphere will be:
![\begin{gathered} A_s=4\pi(\sqrt{(7)/(3.14)})^2\Rightarrow A_s=4(3.14)\ast(7)/(3.14) \\ \\ \Rightarrow A_s=4\ast7\Rightarrow A=28 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/y5uef656jzhyh0tzcmsybcbkfrdw1wmm1f.png)
So, the surface area of the sphere will be 28 yd^2.
*The reason we can use "mental math" is that we are using an approximation of pi, which makes it so it cancels with the 3.14 in the denominator after a point; leaving a simple multiplication at the very end.