| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2008 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Radians, Arc Length and Sector Area |
| Type | Segment area calculation |
| Difficulty | Moderate -0.8 This is a straightforward application of standard sector and segment formulas (A = ½r²θ and subtracting the triangle area). It requires only direct substitution into memorized formulas with minimal problem-solving, making it easier than average but not trivial since it involves two steps and radian measure. |
| Spec | 1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta |
\includegraphics{figure_7}
A sector of a circle of radius 6 cm has angle 1.6 radians, as shown in Fig. 7.
Find the area of the sector.
Hence find the area of the shaded segment. [5]
\hfill \mbox{\textit{OCR MEI C2 2008 Q7 [5]}}