| Exam Board | OCR MEI |
|---|---|
| Module | Paper 2 (Paper 2) |
| Year | 2020 |
| Session | November |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Radians, Arc Length and Sector Area |
| Type | Sector area calculation |
| Difficulty | Easy -1.3 This is a straightforward application of standard sector formulas (arc length = rθ and area = ½r²θ) with given values. It requires only direct substitution into memorized formulas with no problem-solving, making it significantly easier than average A-level questions. |
| Spec | 1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(16.8\) or \(17\) cao | B1 | ignore units |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(\frac{1}{2} \times 8^2 \times 2.1\) | M1 | or \(\frac{\theta°}{360} \times \pi \times 8^2\); \(\theta = 120 - 120.3211\ldots\) |
| \(67.2\) or \(67\) cao | A1 | ignore units |
## Question 2:
### Part (a):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $16.8$ or $17$ cao | B1 | ignore units |
### Part (b):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $\frac{1}{2} \times 8^2 \times 2.1$ | M1 | or $\frac{\theta°}{360} \times \pi \times 8^2$; $\theta = 120 - 120.3211\ldots$ |
| $67.2$ or $67$ cao | A1 | ignore units |
---2 Fig. 2 shows a sector of a circle of radius 8 cm .
The angle of the sector is 2.1 radians.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{cea67565-8074-4703-8e1a-09b98e380baf-04_423_296_1366_246}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{center}
\end{figure}
\begin{enumerate}[label=(\alph*)]
\item Calculate the length of the arc $L$.
\item Calculate the area of the sector.
\end{enumerate}
\hfill \mbox{\textit{OCR MEI Paper 2 2020 Q2 [3]}}