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Equation of a circle

10th grade (Year 11 in England) · 16 questions · Common Core: HSG.GPE.A.1 · England: GCSE Higher Algebra

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Date

Score/ 16

  1. Question 1

    What is the centre of the circle (x − 3)² + (y + 4)² = 4? Type it like (2, −1).

    Answer

  2. Question 2

    The circle x² + y² = r² passes through (−9, 12). What is r?

    Answer

  3. Question 3

    What is the radius of the circle (x − 6)² + y² = 1?

    Answer

  4. Question 4

    The circle x² + y² = r² passes through (6, 8). What is r?

    Answer

  5. Question 5

    What is the centre of the circle (x + 6)² + (y + 5)² = 4? Type it like (2, −1).

    Answer

  6. Question 6

    The circle x² + y² = r² passes through (6, −8). What is r?

    Answer

  7. Question 7

    What is the centre of the circle (x − 3)² + (y − 6)² = 4? Type it like (2, −1).

    Answer

  8. Question 8

    The circle x² + y² = r² passes through (−6, −8). What is r?

    Answer

  9. Question 9

    What is the centre of the circle (x − 6)² + (y + 6)² = 49? Type it like (2, −1).

    Answer

  10. Question 10

    The circle x² + y² = r² passes through (−12, −9). What is r?

    Answer

  11. Question 11

    What is the radius of the circle (x − 3)² + (y − 2)² = 36?

    Answer

  12. Question 12

    The circle x² + y² = r² passes through (−5, 12). What is r?

    Answer

  13. Question 13

    What is the centre of the circle (x − 3)² + (y + 2)² = 16? Type it like (2, −1).

    Answer

  14. Question 14

    The circle x² + y² = r² passes through (6, 8). What is r?

    Answer

  15. Question 15

    What is the radius of the circle (x + 4)² + (y − 1)² = 25?

    Answer

  16. Question 16

    The circle x² + y² = r² passes through (−6, −8). What is r?

    Answer

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  1. (3, −4)
  2. 15
  3. 1
  4. 10
  5. (−6, −5)
  6. 10
  7. (3, 6)
  8. 10
  9. (6, −6)
  10. 15
  11. 6
  12. 13
  13. (3, −2)
  14. 10
  15. 5
  16. 10