| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Radians, Arc Length and Sector Area |
| Type | Sector area calculation |
| Difficulty | Easy -1.2 This is a straightforward application of standard arc length and sector area formulas (s = rθ and A = ½r²θ). It requires only direct substitution and basic arithmetic with no problem-solving insight needed, making it easier than average but not trivial since students must recall and correctly apply two formulas. |
| Spec | 1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(s = r\theta \Rightarrow r = \frac{45}{2} = 22.5\) (cm) | M1, A1 | [2] |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(A = \frac{1}{2}r^2\theta = 22.5^2 = 506.25\) (cm²) | M1, A1 | [2] |
## Question 6:
### Part (i):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $s = r\theta \Rightarrow r = \frac{45}{2} = 22.5$ (cm) | M1, A1 | **[2]** |
### Part (ii):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $A = \frac{1}{2}r^2\theta = 22.5^2 = 506.25$ (cm²) | M1, A1 | **[2]** |
---6 The angle of a sector of a circle is 2 radians and the length of the arc of the sector is 45 cm .\\
Find\\
(i) the radius of the circle,\\
(ii) the area of the sector.
\hfill \mbox{\textit{OCR MEI C2 Q6 [4]}}