Answer:
[tex] A = 350\pi \approx 1100 [/tex]
Step-by-step explanation:
The shaded area is a sector with a central angle of 45 deg.
The total measure of the central angle of a full circle is 360 deg.
The central angle of the unshaded sector is
360 deg - 45 deg = 315 deg
The area of a sector of a circle with a central angle of n degrees and a radius r is
[tex] A = \dfrac{n}{360}\pi r^2 [/tex]
[tex] A = \dfrac{315}{360}\pi \times 20^2 [/tex]
[tex] A = 350\pi \approx 1100 [/tex]
