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AQA A Level

Circles

AQA 7356/1 Jun 2023 AS Exam Q. 11 :   7 marks in 7:52 min.
AQA 7356/2 Jun 2023 AS Exam Q. 11 :   7 marks in 7:52 min.
AQA 7357/2 Jun 2023 A2 Exam Q. 3 :   1 mark in 1:12 min.
AQA 7357/2 Jun 2022 A2 Exam Q. 1 :   1 mark in 1:12 min.
AQA 7356/1 Jun 2022 AS Exam Q. 6 :   9 marks in 10:08 min.
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AQA 7356/2 Nov 2020 AS Exam Q. 6 :   6 marks in 6:45 min.
AQA 7357/2 Nov 2020 A2 Exam Q. 6 :   8 marks in 9:36 min.
AQA 7356/1 Nov 2020 AS Exam Q. 9 :   5 marks in 5:38 min.
AQA 7356/2 Jun 2019 AS Exam Q. 2 :   1 mark in 1:08 min.
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AQA 7357/3 Jun 2018 A2 Exam Q. 1 :   1 mark in 1:12 min.
AQA 7356/1 Jun 2018 AS Exam Q. 2 :   1 mark in 1:08 min.
AQA 7356/2 Jun 2018 AS Exam Q. 8 :   4 marks in 4:30 min.
AQA 7356/2 Jun 2017 AS Sample Exam Q. 11 :   10 marks in 11:15 min.
AQA 7357/1 Jun 2017 A2 Sample Exam Q. 11 :   8 marks in 9:36 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 \(\color{blue}{r}\).
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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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