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20 questions and an answer page, sized for A4.

Circles in the coordinate plane

Year 9 · Functions & Graphs · 20 questions

Name
Date
  1. 1.
    What is the radius of the circle (x + 3)² + (y − 1)² = 64?
  2. 2.
    What is the radius of the circle (x − 3)² + (y − 1)² = 64?
  3. 3.
    What is the centre of the circle (x − 4)² + (y + 5)² = 64?
  4. 4.
    What is the centre of the circle (x + 2)² + (y − 3)² = 49?
  5. 5.
    Which is the equation of the circle with centre (4, -2) and radius 6?
    a)(x − 4)² + (y + 2)² = 36b)(x + 4)² + (y − 2)² = 36c)(x − 4)² + (y + 2)² = 49d)(x + 2)² + (y − 4)² = 36
  6. 6.
    What is the centre of the circle x² + (y + 5)² = 1?
  7. 7.
    What is the radius of the circle (x + 4)² + (y − 5)² = 81?
  8. 8.
    What is the centre of the circle x² + (y − 5)² = 49?
  9. 9.
    What is the radius of the circle (x + 2)² + (y + 3)² = 4?
  10. 10.
    What is the radius of the circle (x + 3)² + (y + 3)² = 36?
  11. 11.
    What is the radius of the circle (x − 5)² + (y − 4)² = 16?
  12. 12.
    What is the centre of the circle (x + 6)² + (y − 4)² = 4?
  13. 13.
    Which is the equation of the circle with centre (3, -3) and radius 5?
    a)(x − 3)² − (y + 3)² = 25b)(x − 3)² + (y + 3)² = 5c)(x + 3)² + (y − 3)² = 25d)(x − 3)² + (y + 3)² = 25
  14. 14.
    Which is the equation of the circle with centre (-5, -3) and radius 2?
    a)(x + 5)² + (y + 3)² = 2b)(x + 5)² + (y + 3)² = 9c)(x − 5)² + (y − 3)² = 4d)(x + 5)² + (y + 3)² = 4
  15. 15.
    What is the radius of the circle (x − 4)² + (y + 4)² = 64?
  16. 16.
    What is the radius of the circle (x − 4)² + (y − 1)² = 64?
  17. 17.
    Which is the equation of the circle with centre (-3, -3) and radius 7?
    a)(x + 3)² − (y + 3)² = 49b)(x + 3)² + (y + 3)² = 49c)(x + 3)² + (y + 3)² = 7d)(x + 3)² + (y + 3)² = 64
  18. 18.
    What is the centre of the circle (x + 1)² + y² = 16?
  19. 19.
    Which is the equation of the circle with centre (2, -2) and radius 7?
    a)(x − 2)² + (y + 2)² = 64b)(x − 2)² + (y + 2)² = 49c)(x + 2)² + (y − 2)² = 49d)(x − 2)² + (y + 2)² = 7
  20. 20.
    What is the radius of the circle (x + 4)² + (y − 4)² = 9?

Free maths worksheets and practice: rocketdigits.com/learn/circles-in-the-coordinate-plane

Answers: Circles in the coordinate plane

  1. 8
  2. 8
  3. (4, -5)
  4. (-2, 3)
  5. a) (x − 4)² + (y + 2)² = 36
  6. (0, -5)
  7. 9
  8. (0, 5)
  9. 2
  10. 6
  11. 4
  12. (-6, 4)
  13. d) (x − 3)² + (y + 3)² = 25
  14. d) (x + 5)² + (y + 3)² = 4
  15. 8
  16. 8
  17. b) (x + 3)² + (y + 3)² = 49
  18. (-1, 0)
  19. b) (x − 2)² + (y + 2)² = 49
  20. 3

Free maths worksheets and practice: rocketdigits.com/learn/circles-in-the-coordinate-plane

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