Edexcel FP3 Specimen — Question 3

Exam BoardEdexcel
ModuleFP3 (Further Pure Mathematics 3)
SessionSpecimen
TopicParametric equations

3. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 1} \includegraphics[alt={},max width=\textwidth]{6c256e1b-455d-42fb-81f2-a9a8ed1148bc-2_503_801_998_566}
\end{figure} The parametric equations of the curve \(C\) shown in Figure 1 are $$x = a ( t - \sin t ) , \quad y = a ( 1 - \cos t ) , \quad 0 \leq t \leq 2 \pi$$ Find, by using integration, the length of \(C\).