The area of the shaded region represents the area of a sector
The area of the shaded region is 3.14 square units
The given parameters are::
[tex]r = 2[/tex] -- the radius
[tex]\theta = 90[/tex] --- the angle of the shaded region
The area is then calculated using:
[tex]A = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]A = \frac{90}{360} * 3.14 * 2^2[/tex]
This gives
[tex]A = 3.14[/tex]
Hence, the area of the shaded region is 3.14 square units
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