AQA•A-Level•Further Maths
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Polar Coordinates
Polar coordinate system, curves, and areas
Practice 17 subtopics in Polar Coordinates. All questions match the AQA A-Level specification.
About Polar Coordinates
Polar Coordinates is a key topic in the AQA A-Level Further Mathsspecification. This topic covers polar coordinate system, curves, and areas.
Master all 17 subtopics below with unlimited AI-generated questions. Each subtopic page includes sample questions and the ability to generate unlimited practice questions with detailed solutions.
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Polar coordinate system (r, θ)Converting to Cartesian: x = r cos θ, y = r sin θConverting from CartesianMultiple representationsSketching polar curvesPolar curves: r = a (circle)Polar curves: θ = α (line through origin)Polar curves: r = a cos θ, r = a sin θPolar curves: r = a + b cos θ (limaçon)Polar curves: r = a cos(nθ) (rose curves)Polar curves: r = aθ (spiral)Cardioid: r = a(1 + cos θ)Tangents to polar curvesFinding dy/dx from polar formArea enclosed by polar curveArea formula: A = (1/2)∫r^2 dθArea between two polar curves
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