| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2010 |
| Session | January |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Radians, Arc Length and Sector Area |
| Type | Sector area calculation |
| Difficulty | Moderate -0.8 This is a straightforward application of the sector area formula A = ½r²θ, requiring only algebraic rearrangement to solve for r. It's a single-step problem testing basic recall of the formula with no conceptual challenges, making it easier than average but not trivial since students must remember and correctly manipulate the radian-based formula. |
| Spec | 1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta |
A sector of a circle has area $8.45 \text{ cm}^2$ and sector angle $0.4$ radians. Calculate the radius of the sector. [3]
\hfill \mbox{\textit{OCR MEI C2 2010 Q4 [3]}}