Answer:
[tex]A=16\pi\ units^{2}[/tex]
[tex]A=50.24\ units^{2}[/tex]
Step-by-step explanation:
we know that
The shape of the figure is a quarter of circle
so
The area of the figure is equal to the area of a circle divided by 4
[tex]A=\frac{1}{4}\pi r^{2}[/tex]
we have
[tex]r=8\ units[/tex]
substitute
[tex]A=\frac{1}{4}\pi (8)^{2}[/tex]
[tex]A=16\pi\ units^{2}[/tex] ----> exact answer
assume
[tex]\pi =3.14[/tex]
[tex]A=16(3.14)=50.24\ units^{2}[/tex] ----> decimal answer
