we know that
The area of complete circle subtends a central angle of 360 degrees
so
using proportion
Find out the area of the sector with a central angle of 45 degrees
[tex]\frac{pi\cdot r^2}{360}=\frac{x}{45}[/tex]
we have
r=8 units
substitute and solve for x
[tex]\begin{gathered} \frac{pi\cdot(8)^2}{360}=\frac{x}{45} \\ \\ x=\pi\cdot64\cdot\frac{45}{360} \\ x=8\pi\text{ units\textasciicircum{}2} \end{gathered}[/tex]
therefore
the answer is 8pi square units
option B
