| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| 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 to find θ, followed by using the arc length formula s = rθ and adding the two radii for perimeter. Both parts require direct substitution into standard formulas with minimal algebraic manipulation, making this easier than average for A-level. |
| Spec | 1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta |
The gradient of a curve is given by $\frac{dy}{dx} = 6x^2 - 5$. Given also that the curve passes through the point $(4, 20)$, find the equation of the curve. [5]7
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\caption{Fig. 7}
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Fig. 7 shows a sector of a circle of radius 5 cm which has angle $\theta$ radians. The sector has area $30 \mathrm {~cm} ^ { 2 }$.\\
(i) Find $\theta$.\\
(ii) Hence find the perimeter of the sector.
\hfill \mbox{\textit{OCR MEI C2 Q7}}