Can someone please explain why in number 11, y = 2 + sqrt( 1-x^2)? I\'m guessing

Question

Can someone please explain why in number 11, y = 2 + sqrt( 1-x^2)? I'm guessing they got the 2 because it's the radius. But I have no idea how they got the sqrt of (1-x^2).
Sorry for the long link:
https://docs.google.com/viewer?a=v&q=cache:HziLoQ3aMWMJ:wp-blogs.moundsparkacademy.org/tro/files/2011/08/chap08-et-student-solutions1.pdf+&hl=en&gl=us&pid=bl&srcid=ADGEESjE8APngFPIt7tvkS-lq53zz_jE6aJsvKRQvVvBi3u_f6TmcJAq1hkqrhl7NZUG1yoC97NZhtmEyp7h8rqGgXgl3Xmwj5IQTuUcKXA2wlaWSKCmS5lrzkmgev7XxFaqKa91m7zZ&sig=AHIEtbQzbUUaxqNGk6mZ336burjxtRF4yw

Explanation / Answer

They started with the equation for a circle for the edges. (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the coordinates of the center. From the picture we can see that the center is at (0,2). When we plug values in we get... (x-0)^2 + (y-2)^ = 1^1 x^2 + (y-2)^2 = 1 (y-2)^2 = 1 - x^2 (y-2) = sqrt(1-x^2) y = 2 + sqrt(1-x^2)

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