Worksheets · Algebra 2

Graphing circles worksheet for Algebra 2

The equation of a circle already tells you the two things you need: where the center is and how far out to go. A grid comes with every question and the answer key has the circle drawn on it.

Also taught in Precalculus, at its own level and with its own examples.

Select your difficulty

Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Graphing Circles

Date Period

Graph each equation.

  1. Graph (x+5)2+y2=16−10−10−5−5551010
  2. Graph (x−4)2+(y+2)2=25−10−10−5−5551010
  3. Graph x2+y2=25−10−10−5−5551010
  4. Graph (x+1)2+(y+4)2=4−10−10−5−5551010
  5. Graph x2+(y+6)2=4−10−10−5−5551010
  6. Graph (x−2)2+(y−1)2=4−10−10−5−5551010
  7. Graph (x+3)2+(y−2)2=25−10−10−5−5551010
  8. Graph x2+(y−4)2=25−10−10−5−5551010
  9. Graph (x−5)2+y2=9−10−10−5−5551010
  10. Graph (x−2)2+(y+2)2=9−10−10−5−5551010
  11. Graph (x+4)2+(y+4)2=16−10−10−5−5551010
  12. Graph (x+1)2+(y−1)2=25−10−10−5−5551010
  13. Graph (x−4)2+(y−5)2=16−10−10−5−5551010
  14. Graph (x−3)2+y2=25−10−10−5−5551010
  15. Graph (x+3)2+(y−5)2=16−10−10−5−5551010
  16. Graph x2+(y+2)2=9−10−10−5−5551010
  17. Graph (x+2)2+y2=16−10−10−5−5551010
  18. Graph x2+(y−5)2=9−10−10−5−5551010
  19. Graph x2+y2=16−10−10−5−5551010
  20. Graph (x−1)2+(y+2)2=9−10−10−5−5551010

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Graphing CirclesAnswer keyVersion 1

Date Period

Graph each equation.

  1. Graph (x+5)2+y2=16−10−10−5551010Center (−5,0), radius 4
  2. Graph (x−4)2+(y+2)2=25−10−10−5−5551010Center (4,−2), radius 5
  3. Graph x2+y2=25−10−101010−5−5Center (0,0), radius 5
  4. Graph (x+1)2+(y+4)2=4−10−10−5−5551010Center (−1,−4), radius 2
  5. Graph x2+(y+6)2=4−10−10−5551010−5Center (0,−6), radius 2
  6. Graph (x−2)2+(y−1)2=4−10−10−5−5551010Center (2,1), radius 2
  7. Graph (x+3)2+(y−2)2=25−10−10−5−5551010Center (−3,2), radius 5
  8. Graph x2+(y−4)2=25−10−10−5−5551010Center (0,4), radius 5
  9. Graph (x−5)2+y2=9−10−10−5−551010Center (5,0), radius 3
  10. Graph (x−2)2+(y+2)2=9−10−10−5−5510105Center (2,−2), radius 3
  11. Graph (x+4)2+(y+4)2=16−10−10−5−5551010Center (−4,−4), radius 4
  12. Graph (x+1)2+(y−1)2=25−10−10−5551010−5Center (−1,1), radius 5
  13. Graph (x−4)2+(y−5)2=16−10−10−5−5551010Center (4,5), radius 4
  14. Graph (x−3)2+y2=25−10−10−5−5551010Center (3,0), radius 5
  15. Graph (x+3)2+(y−5)2=16−10−10−5−5551010Center (−3,5), radius 4
  16. Graph x2+(y+2)2=9−10−10−5551010−5Center (0,−2), radius 3
  17. Graph (x+2)2+y2=16−10−10−5−5551010Center (−2,0), radius 4
  18. Graph x2+(y−5)2=9−10−10−5−551010Center (0,5), radius 3
  19. Graph x2+y2=16−10−10−5−5551010Center (0,0), radius 4
  20. Graph (x−1)2+(y+2)2=9−10−10−5551010−5Center (1,−2), radius 3

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Graph (x−2)2+(y+1)2=9

  1. The center is at (2, -1): the values that make each squared binomial zero.
  2. The right side is the radius squared, so the radius is 3.
  3. Mark the center, step 3 out in all four directions, and join them.

The answer is Center (2,−1), radius 3.

Where students go wrong

Taking the right side as the radius. It is the radius squared, so 9 means a radius of 3, not 9. The other slip is reading the center with the wrong sign: (x - 2) puts the center at +2.

Also called plotting circles or center and radius graphs.

What you can put on this worksheet

Graph a circle
Graph (x−1)2+(y−3)2=9 → Center (1,3), radius 3
Graph a circle from its equation
Graph, and give the center and radius: x2+(y−1)2=2 → Center (0,1)radius 2

Questions about these worksheets

Yes. Every graphing circles sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 2 is usually taken around 10th or 11th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the graphing circles questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 2: graph a circle and graph a circle from its equation. Tick as many as you want and set how many of each, or let it spread them evenly.

Taking the right side as the radius. It is the radius squared, so 9 means a radius of 3, not 9. The other slip is reading the center with the wrong sign: (x - 2) puts the center at +2.