Deriving the circle formula (performance task)

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This problem examines equations defining different circles in the x-y plane.

a. Use the Pythagorean theorem to find an equation in x and y whose solutions are the points on the circle of radius 2 with center (1, 1) and explain why it works.

b. Suppose r is a positive number and (a, b) a point in the plane. Use the Pythagorean
theorem to find an equation in x and y whose solutions are the points on the circle of
radius r with center and explain why it work

For the full task with complete solutions, check link: http://auhsdmath.pbworks.com/w/file/fetch/74933111/Explaining_Circles.pdf

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