Answer:
C. [tex]72\pi[/tex]
Step-by-step explanation:
The radius of the circle is 24 units, then the area of the whole circle is
[tex]\pi r^2=\pi \cdot 24^2=576\pi \ un^2.[/tex]
The shaded circle is limited by 45° angle, so its area is
[tex]\dfrac{45}{360}=\dfrac{1}{8}[/tex]
of the area of the whole circle.
The area of the shaded circle is
[tex]\dfrac{1}{8}\cdot 576\pi =72\pi \ un^2.[/tex]
