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This is an engaging practice for a set of 30 problems on equation of a circle. It consists of four parts (four pages)

Part 1/Page A contains 10 problems on finding the center and radius of a circle where in the first 6 problems the equations are given in standard form and in the last 4 problems the equations are given in general form. Students will need to complete the square to complete the last 4 tasks.

Part 2/Page B have 8 text problems on writing equations for circles. Students are given

  • the center and the radius
  • the endpoints of the diameter
  • the center and one point that the circle goes through it
  • the center and an endpoint of the radius
  • the center and the diameter
  • the center and the circumference of the circle
  • the center and the area of the circle

Part 3/Page C is interpreting the graphs of 6 circles. Students will have to write the equation of each circle in both standard and general forms.

Part 4/Page D is graphing the circle given its equation in standard form (6 problems). Grids are provided.

The practice sheets give room for students to show work. Answer keys are included.

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