Long description: circle10

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The image shows a graph on a coordinate plane depicting an annulus, which is the region between two concentric circles.

Alt text: The image shows a graph on a coordinate plane depicting an annulus, which is the region between two concentric circles.

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  • The image displays a standard two-dimensional Cartesian coordinate system with a horizontal x-axis and a vertical y-axis, both marked with integer units.
  • Two concentric circles are drawn on the plane, forming a ring shape called an annulus.
  • The inner circle has a radius of one unit, and its equation is represented by the boundary \(x^2 + y^2 = 1\).
  • The outer circle has a radius of two units, and its equation is represented by the boundary \(x^2 + y^2 = 4\).
  • The shaded region is the area between these two circles, corresponding to the inequality \(1 < x^2 + y^2 < 4\).

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