Circle Equations – Further Maths
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Question 1 of 45
1. Question
Find the centre and radius of (x – 6)^2 + (y – 7)^2 = 64
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Question 2 of 45
2. Question
Find the centre and radius of (x – 5)^2 + (y – 5)^2 = 81
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Question 3 of 45
3. Question
Find the centre and radius of (x – 9)^2 + (y – 6)^2 = 9
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Question 4 of 45
4. Question
Find the centre and radius of (x – 6)^2 + (y – 6)^2 = 49
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Question 5 of 45
5. Question
Find the centre and radius of (x – 9)^2 + (y – 8)^2 = 144
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Question 6 of 45
6. Question
Find the centre and radius of (x – 8)^2 + (y – 8)^2 = 81
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Question 7 of 45
7. Question
Find the centre and radius of (x – 7)^2 + (y – 5)^2 = 49
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Question 8 of 45
8. Question
Find the centre and radius of (x + 1)^2 + (y – 5)^2 = 121
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Question 9 of 45
9. Question
Find the centre and radius of (x – 2)^2 + (y – 2)^2 = 81
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Question 10 of 45
10. Question
Find the centre and radius of (x – 4)^2 + (y – 6)^2 = 100
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Question 11 of 45
11. Question
Find the centre and radius of (x + 9)^2 + (y – 9)^2 = 9
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Question 12 of 45
12. Question
Find the centre and radius of (x + 5)^2 + (y + 5)^2 = 36
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Question 13 of 45
13. Question
Find the centre and radius of (x – 7)^2 + (y – 7)^2 = 36
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Question 14 of 45
14. Question
Find the centre and radius of (x + 4)^2 + (y – 2)^2 = 64
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Question 15 of 45
15. Question
Find the centre and radius of (x – 3)^2 + (y + 1)^2 = 144
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Question 16 of 45
16. Question
Find the equation of the circle with centre (7,7) and radius 3 in the form (x – a)^2 + (y – b)^2 = r^2
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Question 17 of 45
17. Question
Find the equation of the circle with centre (7,5) and radius 7 in the form (x – a)^2 + (y – b)^2 = r^2
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Question 18 of 45
18. Question
Find the equation of the circle with centre (-1,1) and radius 9 in the form (x – a)^2 + (y – b)^2 = r^2
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Question 19 of 45
19. Question
Find the equation of the circle with centre (-6,-6) and radius 5 in the form (x – a)^2 + (y – b)^2 = r^2
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Question 20 of 45
20. Question
Find the equation of the circle with point (10,3) and centre (6,6) in the form (x – a)^2 + (y – b)^2 = r^2
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Question 21 of 45
21. Question
Find the equation of the circle with point (1,5) and centre (6,7) in the form (x – a)^2 + (y – b)^2 = r^2
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Question 22 of 45
22. Question
Find the equation of the circle with point (7,5) and centre (8,7) in the form (x – a)^2 + (y – b)^2 = r^2
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Question 23 of 45
23. Question
Find the equation of the circle with point (5,-9) and centre (7,-8) in the form (x – a)^2 + (y – b)^2 = r^2
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Question 24 of 45
24. Question
Find the equation of the circle with point (-3,-4) and centre (-2,-1) in the form (x – a)^2 + (y – b)^2 = r^2
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Question 25 of 45
25. Question
Find the equation of the circle with point (9,11) and centre (3,5) in the form (x – a)^2 + (y – b)^2 = r^2
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Question 26 of 45
26. Question
Find the equation of the circle with diameter from (3,10) to (7,4) in the form (x – a)^2 + (y – b)^2 = r^2
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Question 27 of 45
27. Question
Find the equation of the circle with diameter from (7,6) to (3,4) in the form (x – a)^2 + (y – b)^2 = r^2
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Question 28 of 45
28. Question
Find the equation of the circle with diameter from (-8,3) to (-2,13) in the form (x – a)^2 + (y – b)^2 = r^2
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Question 29 of 45
29. Question
Find the equation of the circle with diameter from (4,10) to (0,4) in the form (x – a)^2 + (y – b)^2 = r^2
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Question 30 of 45
30. Question
Find the equation of the circle with diameter from (9,-1) to (1,9) in the form (x – a)^2 + (y – b)^2 = r^2
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Question 31 of 45
31. Question
Find the equation of the tangent to the circle (x – 4)^2 + (y – 6)^2 = 17 at (8,7)
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Question 32 of 45
32. Question
Find the equation of the tangent to the circle (x – 6)^2 + (y – 9)^2 = 25 at (10,6)
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Question 33 of 45
33. Question
Find the equation of the tangent to the circle (x – 6)^2 + (y – 1)^2 = 41 at (2,-4)
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Question 34 of 45
34. Question
Find the equation of the tangent to the circle (x – 8)^2 + (y + 7)^2 = 29 at (10,-12)
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Question 35 of 45
35. Question
Find the equation of the tangent to the circle (x – 3)^2 + (y + 8)^2 = 8 at (1,-10)
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Question 36 of 45
36. Question
Find the equation of the tangent to the circle (x + 5)^2 + (y + 8)^2 = 13 at (-2,-6)
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Question 37 of 45
37. Question
Find the equation of the tangent to the circle (x + 4)^2 + (y – 2)^2 = 20 at (-8,-4)
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Question 38 of 45
38. Question
Find the equation of the tangent to the circle with centre (7,8) at point (8,7)
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Question 39 of 45
39. Question
Find the equation of the tangent to the circle with centre (1,7) at point (5,2)
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Question 40 of 45
40. Question
Find the equation of the tangent to the circle with centre (6,7) at point (9,11)
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Question 41 of 45
41. Question
Find the equation of the tangent to the circle with centre (2,6) at point (0,9)
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Question 42 of 45
42. Question
Find the equation of the tangent to the circle with centre (-6,5) at point (-2,2)
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Question 43 of 45
43. Question
Find the equation of the tangent to the circle with centre (8,-4) at point (9,-1)
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Question 44 of 45
44. Question
Find the equation of the tangent to the circle with centre (-8,-3) at point (-7,-6)
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Question 45 of 45
45. Question
Find the equation of the tangent to the circle with centre (-5,4) at point (-6,6)
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