| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Radians, Arc Length and Sector Area |
| Type | Sector area calculation |
| Difficulty | Moderate -0.8 This is a straightforward application of standard sector formulas (Area = ½r²θ and arc length = rθ) with minimal problem-solving required. Students simply substitute given values and rearrange, making it easier than average for A-level but not trivial since it requires correct formula recall and unit awareness (radians). |
| Spec | 1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta |
\includegraphics{figure_1}
The diagram shows the sector $OAB$ of a circle of radius 9.2 cm and centre $O$.
Given that the area of the sector is 37.4 cm$^2$, find to 3 significant figures
\begin{enumerate}[label=(\roman*)]
\item the size of $\angle AOB$ in radians, [2]
\item the perimeter of the sector. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR C2 Q1 [4]}}