| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2013 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Radians, Arc Length and Sector Area |
| Type | Chord and sector relationship |
| Difficulty | Moderate -0.8 This is a straightforward two-part question testing basic circle geometry and radian measure. Part (i) requires simple rearrangement of the arc length formula (s = rθ), and part (ii) uses basic trigonometry in a right-angled triangle. Both parts are routine applications of standard formulas with no problem-solving insight required, making this easier than average. |
| Spec | 1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta |
\includegraphics{figure_4}
Fig. 4 shows sector OAB with sector angle 1.2 radians and arc length 4.2 cm. It also shows chord AB.
\begin{enumerate}[label=(\roman*)]
\item Find the radius of this sector. [2]
\item Calculate the perpendicular distance of the chord AB from O. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2013 Q4 [4]}}