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OCR A Level Maths

Circles

OCR (A) H230/01 Jun 2024 AS Exam Q. 8 :   5 marks in 6:00 min.
OCR (A) H240/03 Jun 2023 A2 Exam Q. 4 :   7 marks in 8:24 min.
OCR (A) H230/02 Jun 2023 AS Exam Q. 6 :   10 marks in 12:00 min.
OCR (A) H240/02 Jun 2023 A2 Exam Q. 6 :   10 marks in 12:00 min.
OCR (A) H230/01 Jun 2023 AS Exam Q. 8 :   7 marks in 8:24 min.
OCR (A) H240/03 Jun 2022 A2 Exam Q. 3 :   4 marks in 4:48 min.
OCR (A) H230/02 Jun 2022 AS Exam Q. 4 :   3 marks in 3:36 min.
OCR (A) H240/02 Nov 2021 A2 Exam Q. 5 :   8 marks in 9:36 min.
OCR (A) H230/02 Nov 2021 AS Exam Q. 7 :   9 marks in 10:48 min.
OCR (A) H240/01 Nov 2020 A2 Exam Q. 11 :   10 marks in 12:00 min.
OCR (A) H230/02 Nov 2020 AS Exam Q. 6 :   6 marks in 7:12 min.
OCR (A) H240/03 Jun 2019 A2 Exam Q. 2 :   8 marks in 9:36 min.
OCR (A) H230/01 Jun 2019 AS Exam Q. 6 b :   4 marks in 4:48 min.
OCR (A) H240/03 Jun 2018 A2 Exam Q. 1 :   3 marks in 3:36 min.
OCR (A) H240/01 Jun 2018 A2 Exam Q. 5 :   8 marks in 9:36 min.
OCR (A) H230/01 Jun 2018 AS Exam Q. 8 :   6 marks in 7:12 min.
OCR (A) H230/01 Jun 2017 AS Sample Exam Q. 2 :   5 marks in 6:00 min.
OCR (A) H230/02 Jun 2017 AS Sample Exam Q. 8 :   10 marks in 12:00 min.
Explore the general form of the equation of a circle
How many possible points of intersection between straight lines and circles ?
Tangent and chord properties
Explore the circumcircle of a triangle
Investigate Equation of Circle
A circle can be expressed with the cartesian equation \(\color{blue}{{\left( {x - a} \right)^2} + {\left( {y - b} \right)^2} = {r^2}}\),
where a, b and r are constants.

The circle is centred at \(\color{blue}{(a, b)}\) and has radius \(\color{blue}{r}\).
Matching Circles
You can select eight green circles on this page. Using the sliders to match the blue dashed circle to the green circle will reveal the equation in each case, but can you say what the equation is before making the match?
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