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STEP Support Programme

Circles

In step 1 1987 q2, how do I find the relationship between n, R and r.

Consider the regular $n$-sided polygon with vertices that are the centres of the small circles. You might find it helpful to draw a diagram with an apothem drawn.

Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)