Equation of a circle – Easy (AS Level)
For the teaching video to learn this skill and see lots of worked examples, watch the video over on YouTube.
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Question 1 of 25
1. Question
Find the equation of the circle with centre (8,5) and radius 12 in the form (x – a)² + (y – b)² = r²
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Question 2 of 25
2. Question
Find the equation of the circle with centre (5,9) and radius 9 in the form (x – a)² + (y – b)² = r²
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Question 3 of 25
3. Question
Find the equation of the circle with centre (-3,7) and radius 1 in the form (x – a)² + (y – b)² = r²
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Question 4 of 25
4. Question
Find the equation of the circle with centre (-7,-2) and radius 9 in the form (x – a)² + (y – b)² = r²
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Question 5 of 25
5. Question
Find the equation of the circle with centre (8,5) and radius 7 in the form ax² + bx + cy² + dx + e = 0
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Question 6 of 25
6. Question
Find the equation of the circle with centre (8,5) and radius 12 in the form ax² + bx + cy² + dx + e = 0
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Question 7 of 25
7. Question
Find the equation of the circle with centre (7,8) and radius 10 in the form ax² + bx + cy² + dx + e = 0
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Question 8 of 25
8. Question
Find the equation of the circle with centre (-7,1) and radius 8 in the form ax² + bx + cy² + dx + e = 0
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Question 9 of 25
9. Question
Find the equation of the circle with point (9,1) and centre (7,6) in the form (x – a)² + (y – b)² = r²
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Question 10 of 25
10. Question
Find the equation of the circle with point (6,11) and centre (7,7) in the form (x – a)² + (y – b)² = r²
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Question 11 of 25
11. Question
Find the equation of the circle with point (2,-7) and centre (-1,-6) in the form (x – a)² + (y – b)² = r²
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Question 12 of 25
12. Question
Find the equation of the circle with point (3,-4) and centre (1,-5) in the form (x – a)² + (y – b)² = r²
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Question 13 of 25
13. Question
Find the equation of the circle with point (6,7) and centre (8,8) in the form ax² + bx + cy² + dx + e = 0
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Question 14 of 25
14. Question
Find the equation of the circle with point (9,2) and centre (5,6) in the form ax² + bx + cy² + dx + e = 0
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Question 15 of 25
15. Question
Find the equation of the circle with point (4,-4) and centre (2,-8) in the form ax² + bx + cy² + dx + e = 0
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Question 16 of 25
16. Question
Find the equation of the circle with point (3,-6) and centre (6,-4) in the form ax² + bx + cy² + dx + e = 0
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Question 17 of 25
17. Question
Find the equation of the circle with diameter from (8,5) to (10,11) in the form (x – a)² + (y – b)² = r²
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Question 18 of 25
18. Question
Find the equation of the circle with diameter from (8,9) to (6,3) in the form (x – a)² + (y – b)² = r²
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Question 19 of 25
19. Question
Find the equation of the circle with diameter from (3,3) to (-1,13) in the form (x – a)² + (y – b)² = r²
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Question 20 of 25
20. Question
Find the equation of the circle with diameter from (7,13) to (9,5) in the form (x – a)² + (y – b)² = r²
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Question 21 of 25
21. Question
Find the equation of the circle with diameter from (4,4) to (10,14) in the form ax² + bx + cy² + dx + e = 0
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Question 22 of 25
22. Question
Find the equation of the circle with diameter from (4,5) to (10,13) in the form ax² + bx + cy² + dx + e = 0
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Question 23 of 25
23. Question
Find the equation of the circle with diameter from (-4,2) to (-2,10) in the form ax² + bx + cy² + dx + e = 0
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Question 24 of 25
24. Question
Find the equation of the circle with diameter from (2,3) to (-6,5) in the form ax² + bx + cy² + dx + e = 0
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Question 25 of 25
25. Question
Find the equation of the circle with diameter from (6,3) to (0,7) in the form ax² + bx + cy² + dx + e = 0
CorrectIncorrect