| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2009 |
| Session | January |
| Marks | 6 |
| 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 C2 question requiring basic radian conversion (140° = 7π/9) and standard application of arc length formula (s = rθ) plus chord length using cosine rule. All steps are routine textbook exercises with no problem-solving insight needed, making it easier than average. |
| Spec | 1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta |
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The diagram shows a sector $O A B$ of a circle, centre $O$ and radius 7 cm . The angle $A O B$ is $140 ^ { \circ }$.\\
(i) Express $140 ^ { \circ }$ in radians, giving your answer in an exact form as simply as possible.\\
(ii) Find the perimeter of the segment shaded in the diagram, giving your answer correct to 3 significant figures.
\hfill \mbox{\textit{OCR C2 2009 Q2 [6]}}