| Exam Board | AQA |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2006 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Radians, Arc Length and Sector Area |
| Type | Sector perimeter calculation |
| Difficulty | Moderate -0.8 This is a straightforward application of standard sector formulas (A = ½r²θ and arc length = rθ) with minimal steps. Part (a) requires simple rearrangement and arithmetic, while part (b) is direct substitution. No problem-solving insight needed, just recall and basic calculation. |
| Spec | 1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta |
1 The diagram shows a sector of a circle of radius 5 cm and angle $\theta$ radians.\\
\includegraphics[max width=\textwidth, alt={}, center]{f066f68a-e739-4da3-8ec1-e221461146b0-2_327_358_571_842}
The area of the sector is $8.1 \mathrm {~cm} ^ { 2 }$.
\begin{enumerate}[label=(\alph*)]
\item Show that $\theta = 0.648$.
\item Find the perimeter of the sector.
\end{enumerate}
\hfill \mbox{\textit{AQA C2 2006 Q1 [5]}}