Edexcel IGCSE Maths Mathematical Reasoning

Practise Edexcel IGCSE Maths mathematical reasoning by explaining circle intersections using radii sums and centre distances.

Exam points

Compare the distance between circle centres with the sum of the radii to justify intersection.
Write a clear conclusion linking the numerical inequality to the geometric reasoning.

Covered syllabus points

Make deductions and draw conclusions Construct chains of reasoning Present arguments and proofs Interpret and communicate accurately

[Maximum number: 1]

Two circles, $C_{1}$ and $C_{2}$ , are drawn on a centimetre grid, with a scale of 1 cm for 1 unit on each axis.

The centre of circle $C_{1}$ is at the point with coordinates (-1,3) and the radius of $C_{1}$ is 13 cm.

The centre of circle $C_{2}$ is at the point with coordinates (7,18) and the radius of $C_{2}$ is 6 cm.

Explain why circle $C_{1}$ intersects circle $C_{2}$

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Covered syllabus points

Mathematical reasoning question 1