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Conic sections practice

Graphing circles worksheets

Read a circle in standard form, find its center and radius, and graph the complete circle on an equal-scale coordinate grid.

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Find the center and radius, then graph each circle.

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Read standard form and graph with equal scales

Each worksheet contains four standard-form equations and four coordinate grids from −10 to 10. Find the center and radius before drawing.

Plot the center, count the radius left, right, up and down, then draw a circle through those four extrema.

The separate key shows the exact center, radius and completed circle on each equal-scale grid.

Learning objective

What this activity builds

Connect standard circle form with an exact center, radius and coordinate graph.

Worked example

Graph (x − 2)² + (y + 1)² = 9.

Center (2, −1), radius 3.

Plot the center, mark points three units left, right, up and down, then draw the circle through them.

Teaching notes

Make the practice count

  • Read the center signs opposite the signs inside the parentheses.
  • Use the same unit scale horizontally and vertically.
  • Mark the four axis-aligned extrema before drawing the curve.
  • Check that every point on the circle is the same distance from the center.

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Change the seed for four reproducible equal-scale circle graphs.

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Math SheetNameScore/ 12TeacherDateGraphing CirclesFind the center and radius, then graph each circle.1.x2+y2=1Center: __________ Radius: __________-10-10-8-8-6-6-4-4-2-2224466881010xy2.x-12+y2=36Center: __________ Radius: __________-10-10-8-8-6-6-4-4-2-2224466881010xy3.x2+y-22=36Center: __________ Radius: __________-10-10-8-8-6-6-4-4-2-2224466881010xy4.x-12+y-12=64Center: __________ Radius: __________-10-10-8-8-6-6-4-4-2-2224466881010xymath-sheet.comPage 1 / 1

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