Edexcel C2 — Question 1

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
TopicRadians, Arc Length and Sector Area

1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{9215e382-406c-41a3-8907-f465b134dd87-2_509_538_248_657} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows the sector \(O A B\) of a circle of radius 9.2 cm and centre \(O\).
Given that the area of the sector is \(37.4 \mathrm {~cm} ^ { 2 }\), find to 3 significant figures
  1. the size of \(\angle A O B\) in radians,
  2. the perimeter of the sector.