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A2 1 Pure Mathematics

Quick questions on Polar coordinates: the polar form, sketching curves and the area enclosed - CCEA A-Level Further Maths

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is area enclosed by a polar curve?
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This comes from summing thin circular sectors of angle dθd\theta, each of area 12r2 dθ\frac{1}{2}r^2\,d\theta.
What is wrong limits for a single loop?
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A petal or loop is traced between consecutive zeros of rr; integrating over 00 to 2π2\pi for a single petal overcounts.
What is q1?
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Convert the point with Cartesian coordinates (0,5)(0, 5) to polar form. [1 mark]
What is q2?
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State the polar area formula. [1 mark]
What is q3?
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What curve is r=6r = 6 in polar coordinates? [1 mark]

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