Worksheets · Algebra 2

Graphing circles worksheet

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.

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=16-10-10-5-55510100
  2. Graph (x−4)2+(y+2)2=25-10-10-5-55510100
  3. Graph (x−2)2+(y+1)2=16-10-10-5-55510100
  4. Graph x2+y2=25-10-10-5-55510100
  5. Graph (x+1)2+(y+4)2=4-10-10-5-55510100
  6. Graph x2+(y+6)2=4-10-10-5-55510100
  7. Graph (x−3)2+(y+3)2=9-10-10-5-55510100
  8. Graph (x+7)2+(y+1)2=4-10-10-5-55510100
  9. Graph (x−3)2+(y+2)2=16-10-10-5-55510100
  10. Graph (x−2)2+(y−1)2=4-10-10-5-55510100
  11. Graph (x+3)2+(y−2)2=25-10-10-5-55510100
  12. Graph (x−4)2+(y−6)2=9-10-10-5-55510100
  13. Graph (x−4)2+(y+5)2=4-10-10-5-55510100
  14. Graph (x+1)2+(y+3)2=9-10-10-5-55510100
  15. Graph (x−3)2+(y−1)2=4-10-10-5-55510100
  16. Graph (x+4)2+(y+7)2=4-10-10-5-55510100
  17. Graph (x−4)2+(y+3)2=16-10-10-5-55510100
  18. Graph (x−2)2+(y+1)2=25-10-10-5-55510100
  19. Graph (x−2)2+(y−6)2=9-10-10-5-55510100
  20. Graph (x−2)2+(y−4)2=25-10-10-5-55510100

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=16-10-10-5-55510100Center (−5,0), radius 4
  2. Graph (x−4)2+(y+2)2=25-10-10-5-55510100Center (4,−2), radius 5
  3. Graph (x−2)2+(y+1)2=16-10-10-5-55510100Center (2,−1), radius 4
  4. Graph x2+y2=25-10-10-5-55510100Center (0,0), radius 5
  5. Graph (x+1)2+(y+4)2=4-10-10-5-55510100Center (−1,−4), radius 2
  6. Graph x2+(y+6)2=4-10-10-5-55510100Center (0,−6), radius 2
  7. Graph (x−3)2+(y+3)2=9-10-10-5-55510100Center (3,−3), radius 3
  8. Graph (x+7)2+(y+1)2=4-10-10-5-55510100Center (−7,−1), radius 2
  9. Graph (x−3)2+(y+2)2=16-10-10-5-55510100Center (3,−2), radius 4
  10. Graph (x−2)2+(y−1)2=4-10-10-5-55510100Center (2,1), radius 2
  11. Graph (x+3)2+(y−2)2=25-10-10-5-55510100Center (−3,2), radius 5
  12. Graph (x−4)2+(y−6)2=9-10-10-5-55510100Center (4,6), radius 3
  13. Graph (x−4)2+(y+5)2=4-10-10-5-55510100Center (4,−5), radius 2
  14. Graph (x+1)2+(y+3)2=9-10-10-5-55510100Center (−1,−3), radius 3
  15. Graph (x−3)2+(y−1)2=4-10-10-5-55510100Center (3,1), radius 2
  16. Graph (x+4)2+(y+7)2=4-10-10-5-55510100Center (−4,−7), radius 2
  17. Graph (x−4)2+(y+3)2=16-10-10-5-55510100Center (4,−3), radius 4
  18. Graph (x−2)2+(y+1)2=25-10-10-5-55510100Center (2,−1), radius 5
  19. Graph (x−2)2+(y−6)2=9-10-10-5-55510100Center (2,6), radius 3
  20. Graph (x−2)2+(y−4)2=25-10-10-5-55510100Center (2,4), radius 5

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 bracket 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, circle graphs or center and radius graphs.

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.

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.