By looking at the graph, we can see that the shape is a quarter of a circle.
The area of a circle is:
[tex]a = \frac{1}{2} \pi {r}^{2} [/tex]
So, this "quarter circle" is:
[tex]a = \frac{1}{4} \times \frac{1}{2} \pi {r}^{2} [/tex]
R is the radius (the diagram shows the radius is 8), so we can now find the area:
[tex]a = \frac{1}{4} \times \frac{1}{2} \pi \times {8}^{2} \\ a = \frac{1}{8} \pi \times 64 \\ \\ a = \frac{64\pi}{8} \\ a = 8\pi[/tex]
The area is 8π.
