Edexcel•A-Level•Further Maths
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Polar Coordinates
Polar curves, tangents, and areas
Practice 16 subtopics in Polar Coordinates. All questions match the Edexcel A-Level specification.
About Polar Coordinates
Polar Coordinates is a key topic in the Edexcel A-Level Further Mathsspecification. This topic covers polar curves, tangents, and areas.
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Polar coordinates (r, θ)Converting to CartesianConverting from CartesianSketching polar curvesr = a: circle centered at originθ = α: half-line from originr = a cos θ, r = a sin θ: circlesr = a(1 + cos θ): cardioidr = a + b cos θ: limaçonr² = a² cos 2θ: lemniscater = a cos nθ: rose curvesr = aθ: spiralFinding tangent to polar curvePoints where tangent is parallel/perpendicular to initial lineArea enclosed by polar curve: ½∫r²dθArea between polar curves
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