| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Radians, Arc Length and Sector Area |
| Type | Logo and design problems |
| Difficulty | Moderate -0.8 This is a straightforward application of basic arc length formula (s=rθ) and cosine rule, with minimal problem-solving required. Part (a) is direct substitution, part (b) is standard cosine rule application after finding angle ADC, and part (c) is simple addition. The question requires only routine recall and execution of standard C2 techniques with clear scaffolding. |
| Spec | 1.05b Sine and cosine rules: including ambiguous case1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta |
| Answer | Marks | Guidance |
|---|---|---|
| 3 | 4.4, 4.2 | 1 |
Question 3:
3 | 4.4, 4.2 | 1 | 1 | 1 | 2 | 5\includegraphics{figure_1}
Figure 1 shows a logo $ABD$.
The logo is formed from triangle $ABC$. The mid-point of $AC$ is $D$ and $BC = AD = DC = 6$ cm. $\angle BCA = 0.4$ radians. The curve $BD$ is an arc of a circle with centre $C$ and radius 6 cm.
\begin{enumerate}[label=(\alph*)]
\item Write down the length of the arc $BD$. [1]
\item Find the length of $AB$. [3]
\item Write down the perimeter of the logo $ABD$, giving your answer to 3 significant figures. [1]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q3 [5]}}