OCR Further Pure Core 1 Specimen — Question 3

Exam BoardOCR
ModuleFurther Pure Core 1 (Further Pure Core 1)
SessionSpecimen
TopicPolar coordinates

3 In this question you must show detailed reasoning. The diagram below shows the curve \(r = 2 \cos 4 \theta\) for \(- k \pi \leq \theta \leq k \pi\) where \(k\) is a constant to be determined. Calculate the exact area enclosed by the curve.