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LearnCambridge97092026–2027Paper 1 · Pure Mathematics 1Circular measure

Paper 1 · Module

Circular measure

3 subtopics≈ 110 min in total

Start the module: Radians Open graphing calculator

Radians
What a radian is, why mathematicians prefer it to the degree, and how to convert between the two, with exact values in terms of $\pi$ .
≈ 30 min
Arc length and sector area
Why the formulae $s=r\theta$ and $A=\tfrac12r^2\theta$ work, how to use them for perimeters, and how to work backwards from a length or an area to the radius or angle.
≈ 35 min
Segments, chords and composite shapes
Cutting a sector with a chord: the segment formula, chord lengths, and the exam-style shaded regions built from sectors, triangles and tangents.
≈ 45 min