Quick questions on Polar coordinates: polar curves and enclosed area - Edexcel A-Level Further Maths

4short 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 are wrong limits?

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Choose

\alpha

and

\beta

so the curve sweeps the region exactly once; use symmetry to integrate over half and double, but only if the region is genuinely symmetric.

What is q1?

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Find the area enclosed by

r = 2

for

0 \le \theta \le 2\pi

. [2 marks]

What is q2?

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Convert the point with polar coordinates

\left(2, \frac{\pi}{3}\right)

to Cartesian form. [2 marks]

What is q3?

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Convert

r = 3\cos\theta

to Cartesian form. [3 marks]

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