| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2013 |
| Session | June |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Radians, Arc Length and Sector Area |
| Type | Compound shape area |
| Difficulty | Standard +0.3 This is a straightforward C2 question requiring standard application of sector area formula (½r²θ), triangle area formula (½ab sin C), and arc length formula (rθ). All values are given directly, requiring only substitution and arithmetic. Slightly easier than average due to minimal problem-solving—just methodical application of memorized formulas. |
| Spec | 1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta |
| Answer | Marks |
|---|---|
| - A number that appears to be incomplete or corrupted: "5 | 2.844582" |
I don't see any mark scheme content to clean up in your message. You've provided:
- "Question 5:"
- A number that appears to be incomplete or corrupted: "5 | 2.844582"
Could you please provide the actual mark scheme content that needs to be cleaned up? I'm ready to convert unicode symbols to LaTeX notation and format the marking points once you share the full text.5.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{1c51b071-5cb1-4841-b031-80bde9027433-08_598_1297_118_319}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{center}
\end{figure}
Figure 2 shows a plan view of a garden.\\
The plan of the garden $A B C D E A$ consists of a triangle $A B E$ joined to a sector $B C D E$ of a circle with radius 12 m and centre $B$.\\
The points $A , B$ and $C$ lie on a straight line with $A B = 23 \mathrm {~m}$ and $B C = 12 \mathrm {~m}$.\\
Given that the size of angle $A B E$ is exactly 0.64 radians, find
\begin{enumerate}[label=(\alph*)]
\item the area of the garden, giving your answer in $\mathrm { m } ^ { 2 }$, to 1 decimal place,
\item the perimeter of the garden, giving your answer in metres, to 1 decimal place.
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 2013 Q5 [9]}}