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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

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  1. Question 1

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

    Answer

  2. Question 2

    What is the centre of the circle (x + 3)² + (y − 4)² = 25? Type it like (2, −1).

    Answer

  3. Question 3

    The circle x² + y² = r² passes through (15, −20). What is r?

    Answer

  4. Question 4

    What is the centre of the circle x² + (y − 5)² = 36? Type it like (2, −1).

    Answer

  5. Question 5

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

    Answer

  6. Question 6

    What is the centre of the circle (x − 1)² + (y + 4)² = 36? Type it like (2, −1).

    Answer

  7. Question 7

    The circle x² + y² = r² passes through (0, 5). What is r?

    Answer

  8. Question 8

    What is the radius of the circle (x + 5)² + (y − 1)² = 49?

    Answer

  9. Question 9

    The circle x² + y² = r² passes through (4, −3). What is r?

    Answer

  10. Question 10

    What is the radius of the circle x² + (y + 1)² = 81?

    Answer

  11. Question 11

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

    Answer

  12. Question 12

    What is the centre of the circle (x + 2)² + (y + 6)² = 9? Type it like (2, −1).

    Answer

  13. Question 13

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

    Answer

  14. Question 14

    What is the radius of the circle (x + 4)² + (y + 6)² = 36?

    Answer

  15. Question 15

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

    Answer

  16. Question 16

    What is the centre of the circle (x − 5)² + (y + 1)² = 9? Type it like (2, −1).

    Answer

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Answer key: Equation of a circle

  1. 1. 15

  2. 2. (−3, 4)

  3. 3. 25

  4. 4. (0, 5)

  5. 5. 13

  6. 6. (1, −4)

  7. 7. 5

  8. 8. 7

  9. 9. 5

  10. 10. 9

  11. 11. 10

  12. 12. (−2, −6)

  13. 13. 10

  14. 14. 6

  15. 15. 10

  16. 16. (5, −1)