4 Tangents
A region can be inside or outside the circle when the lines are tangents.
These two diagrams both show a circle with 2 tangents and the regions numbered.
The maximum number of regions for a circle with 2 tangents is 6.
[Diagram: Two diagrams side-by-side. Left diagram: A circle with two parallel tangent line...See it on the paper →
0607/53 · May/June 2022 · Q4b(i)[1]
4 Tangents
A region can be inside or outside the circle when the lines are tangents.
These two diagrams both show a circle with 2 tangents and the regions numbered.
The maximum number of regions for a circle with 2 tangents is 6.
[Diagram: Two diagrams showing a circle with 2 tangents. Left diagram: parallel tangents,...See it on the paper →
0607/53 · May/June 2022 · Q4b(ii)[1]
1-mark “Draw” question — its maths and diagrams are best seen on the paper.
A region can be inside or outside the circle when the lines are tangents.
These two diagrams both show a circle with 2 tangents and the regions numbered.
The maximum number of regions for a circle with 2 tangents is 6.
[Diagram: Two diagrams showing a circle with 2 tangent lines. The left diagram shows two parallel tan...See it on the paper →
0607/53 · May/June 2022 · Q4d[1]
4 Tangents
A region can be inside or outside the circle when the lines are tangents.
These two diagrams both show a circle with 2 tangents and the regions numbered.
The maximum number of regions for a circle with 2 tangents is 6.
[Diagram: Two diagrams showing a circle with 2 tangents and numbered regions 1-6]
(d) This...See it on the paper →
0607/43 · October/November 2019 · Q9d[3]
3-mark “Calculate” question — its maths and diagrams are best seen on the paper.
Most candidates realised the difference between the two diagrams and were able to explain using the correct vocabulary of ‘parallel’ or ‘not intersecting’.
Some candidates were able to draw a fourth tangent that intersected the three already drawn. Care was needed to make sure that an actual tangent was drawn and that, if necessary, the pre-drawn tangents were extended so that all regions could be found. Being precise and careful led to correct answers.
The correct answer to part (b)(i) gave the candidates three consecutive numbers in the table to use for a pattern. Candidates should be encouraged to look for these patterns. In this case it might have helped some to realise they had made a mistake in part (b)(ii) and could go back and change their answer to fit the pattern, thereby also finding the correct answers for the table at the same time.