Answer:
![16\pi](https://img.qammunity.org/2023/formulas/mathematics/college/156zv6y02e8o22z1j4mhd5iszvtdzhrih2.png)
Explanation:
We need to find 1/4 of the area of a circle with a radius of 8
Let r be radius
Area of a circle =
![r^(2) \pi](https://img.qammunity.org/2023/formulas/mathematics/college/5j7o9yvn7jrpve7zbzk6jz6pgzabshmlfy.png)
Substitute r with 8
Area of a circle =
![8^2\pi =64\pi](https://img.qammunity.org/2023/formulas/mathematics/college/rfwujqa5exa3ta7g4vcv02hd798mu30r6f.png)
Now, to find 1/4 of the area, we can create an equation
![(64\pi )/(4)={16\pi](https://img.qammunity.org/2023/formulas/mathematics/college/b6ajup4uzy4g5s3ebyimow78iughnmldi4.png)
The answer is
![16\pi](https://img.qammunity.org/2023/formulas/mathematics/college/156zv6y02e8o22z1j4mhd5iszvtdzhrih2.png)
Hope this helps :)
Have a spectacular day!