Answer:
173.01
Step-by-step explanation:
To area of a sector or portion of a circle is found using:
[tex]A = \frac{N}{360} \pi r^2[/tex]
Substitute N = 50 and A = 27.93.
It becomes [tex]27.93 = \frac{50}{360} \pi r^2\\27.93 = 0.139 \pi r^2\\200.94 = \pi r^2[/tex]
The area of the entire circle is 200.94. The area of the blue part of the circle can be found by subtracting the red section from the entire circle.
200.94 - 27.93 = 173.01